ISL - Chapter 2 Labs
Federico Marini
1 Chapter 2 Lab: Introduction to R
This one is indeed a soft intro!
No worry to make things wrong: TRY!
Got R?
- R can be downloaded from http://cran.r-project.org/
Start…
- an R script (tired!)
- an R Markdown document (wired!)
1.1 Basic commands
Functions are noted as funcname(input1, input2) - inputs are called arguments
Creating a vector by concatenating
c(1, 3, 2, 5)## [1] 1 3 2 5x <- c(1, 3, 2, 5) # use <- for assignment, leave = for parameter values
x## [1] 1 3 2 5x = c(1,6,2)
y = c(1,4,3)Navigating history:
- up arrow
- ctrl + up (RStudio) while typing part of the command
Help:
- use
? help(funcname)
Length (of a vector)
length(x)## [1] 3length(y)## [1] 3Adding things together
1 + 4## [1] 5x + y # if same length## [1] 2 10 5x + 1## [1] 2 7 3x + c(1,2)## Warning in x + c(1, 2): longer object length is not a multiple of shorter object
## length## [1] 2 8 3Listing objects, removing them
ls()## [1] "x" "y"rm(x, y)
ls()## character(0)Create a matrix of numbers
?matrix
x <- matrix(data=c(1,2,3,4), nrow=2, ncol=2)
x## [,1] [,2]
## [1,] 1 3
## [2,] 2 4x <- matrix(data=c(1,2,3,4), 2, 2)
x## [,1] [,2]
## [1,] 1 3
## [2,] 2 4# Recommended: specify arguments!
matrix(c(1,2,3,4),2,2,byrow=TRUE)## [,1] [,2]
## [1,] 1 2
## [2,] 3 4Squaring, squared root
x## [,1] [,2]
## [1,] 1 3
## [2,] 2 4sqrt(x)## [,1] [,2]
## [1,] 1.000000 1.732051
## [2,] 1.414214 2.000000sqrt(x)[,1]## [1] 1.000000 1.414214x^2## [,1] [,2]
## [1,] 1 9
## [2,] 4 16Random normal variables, with rnorm
# bonus - when dealing with random quantities!
set.seed(42)
x <- rnorm(50)
# default: mean of 0 and standard deviation of 1
y <- x + rnorm(50,mean=50,sd=.1) Computing the correlation between two sets of numbers
cor(x,y)## [1] 0.9968525Mean & Standard deviation
mean(x)## [1] -0.03567178sd(x)## [1] 1.151476mean(y)## [1] 49.9744sd(y)## [1] 1.132932var(x)## [1] 1.325898var(y)## [1] 1.283535set.seed(3)
y <- rnorm(100)
mean(y)## [1] 0.01103557var(y)## [1] 0.7328675sqrt(var(y))## [1] 0.8560768sd(y)## [1] 0.85607681.2 Graphics
Meet the plot() function!
plot(x,y)
?plotThe plot() function is the primary way to plot data in R. For instance, plot(x,y) produces a scatterplot of the numbers in x versus the numbers in y. There are many additional options that can be passed in to the plot() function. For example, passing in the argument xlab will result in a label on the x-axis. To find out more information about the plot() function, type ?plot.
set.seed(42)
x <- rnorm(100)
y <- rnorm(100)
plot(x,y)
plot(x,y,
xlab="this is the x-axis",
ylab="this is the y-axis",
main="Plot of X vs Y")
# plot()Saving the output:
open device
plot...
close devicepdf("Figure.pdf")
plot(x,y,col="green")
dev.off()## quartz_off_screen
## 2Devices: pdf(), jpeg(), …
Creating sequences of numbers
?seq
seq(0,1)## [1] 0 1seq(0,1,length=10)## [1] 0.0000000 0.1111111 0.2222222 0.3333333 0.4444444 0.5555556 0.6666667
## [8] 0.7777778 0.8888889 1.0000000pi## [1] 3.141593seq(-pi,pi,length=50)## [1] -3.14159265 -3.01336438 -2.88513611 -2.75690784 -2.62867957 -2.50045130
## [7] -2.37222302 -2.24399475 -2.11576648 -1.98753821 -1.85930994 -1.73108167
## [13] -1.60285339 -1.47462512 -1.34639685 -1.21816858 -1.08994031 -0.96171204
## [19] -0.83348377 -0.70525549 -0.57702722 -0.44879895 -0.32057068 -0.19234241
## [25] -0.06411414 0.06411414 0.19234241 0.32057068 0.44879895 0.57702722
## [31] 0.70525549 0.83348377 0.96171204 1.08994031 1.21816858 1.34639685
## [37] 1.47462512 1.60285339 1.73108167 1.85930994 1.98753821 2.11576648
## [43] 2.24399475 2.37222302 2.50045130 2.62867957 2.75690784 2.88513611
## [49] 3.01336438 3.14159265Some more complex plots:
contour()to represent 3d data
?contour
?outer
# assignment and printing trick ;)
(x <- seq(-pi,pi,length=50))## [1] -3.14159265 -3.01336438 -2.88513611 -2.75690784 -2.62867957 -2.50045130
## [7] -2.37222302 -2.24399475 -2.11576648 -1.98753821 -1.85930994 -1.73108167
## [13] -1.60285339 -1.47462512 -1.34639685 -1.21816858 -1.08994031 -0.96171204
## [19] -0.83348377 -0.70525549 -0.57702722 -0.44879895 -0.32057068 -0.19234241
## [25] -0.06411414 0.06411414 0.19234241 0.32057068 0.44879895 0.57702722
## [31] 0.70525549 0.83348377 0.96171204 1.08994031 1.21816858 1.34639685
## [37] 1.47462512 1.60285339 1.73108167 1.85930994 1.98753821 2.11576648
## [43] 2.24399475 2.37222302 2.50045130 2.62867957 2.75690784 2.88513611
## [49] 3.01336438 3.14159265y <- x
f <- outer(x,y,function (x,y)cos(y)/(1+x^2))
f## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] -0.09199967 -0.09124435 -0.08899081 -0.08527603 -0.08016103 -0.07372979
## [2,] -0.09920276 -0.09838830 -0.09595832 -0.09195270 -0.08643722 -0.07950244
## [3,] -0.10724999 -0.10636947 -0.10374236 -0.09941181 -0.09344892 -0.08595160
## [4,] -0.11627176 -0.11531717 -0.11246907 -0.10777424 -0.10130976 -0.09318177
## [5,] -0.12642295 -0.12538502 -0.12228827 -0.11718355 -0.11015468 -0.10131707
## [6,] -0.13788811 -0.13675606 -0.13337846 -0.12781080 -0.12014449 -0.11050541
## [7,] -0.15088778 -0.14964899 -0.14595297 -0.13986041 -0.13147134 -0.12092352
## [8,] -0.16568601 -0.16432573 -0.16026723 -0.15357714 -0.14436532 -0.13278303
## [9,] -0.18259945 -0.18110031 -0.17662751 -0.16925449 -0.15910231 -0.14633769
## [10,] -0.20200763 -0.20034915 -0.19540094 -0.18724425 -0.17601302 -0.16189166
## [11,] -0.22436448 -0.22252245 -0.21702661 -0.20796720 -0.19549297 -0.17980875
## [12,] -0.25020994 -0.24815572 -0.24202679 -0.23192379 -0.21801260 -0.20052166
## [13,] -0.28017962 -0.27787935 -0.27101630 -0.25970318 -0.24412574 -0.22453976
## [14,] -0.31500833 -0.31242211 -0.30470594 -0.29198650 -0.27447265 -0.25245196
## [15,] -0.35551960 -0.35260078 -0.34389228 -0.32953707 -0.30977087 -0.28491825
## [16,] -0.40258707 -0.39928184 -0.38942041 -0.37316471 -0.35078165 -0.32263877
## [17,] -0.45704468 -0.45329235 -0.44209697 -0.42364238 -0.39823158 -0.36628184
## [18,] -0.51951019 -0.51524502 -0.50251954 -0.48154270 -0.45265895 -0.41634255
## [19,] -0.59007662 -0.58523209 -0.57077808 -0.54695190 -0.51414479 -0.47289544
## [20,] -0.66783078 -0.66234790 -0.64598928 -0.61902354 -0.58189345 -0.53520868
## [21,] -0.75020983 -0.74405061 -0.72567411 -0.69538206 -0.65367185 -0.60122837
## [22,] -0.83234804 -0.82551448 -0.80512599 -0.77151735 -0.72524042 -0.66705506
## [23,] -0.90681105 -0.89936615 -0.87715367 -0.84053836 -0.79012143 -0.72673073
## [24,] -0.96432424 -0.95640716 -0.93278589 -0.89384830 -0.84023375 -0.77282259
## [25,] -0.99590621 -0.98772983 -0.96333496 -0.92312215 -0.86775170 -0.79813280
## [26,] -0.99590621 -0.98772983 -0.96333496 -0.92312215 -0.86775170 -0.79813280
## [27,] -0.96432424 -0.95640716 -0.93278589 -0.89384830 -0.84023375 -0.77282259
## [28,] -0.90681105 -0.89936615 -0.87715367 -0.84053836 -0.79012143 -0.72673073
## [29,] -0.83234804 -0.82551448 -0.80512599 -0.77151735 -0.72524042 -0.66705506
## [30,] -0.75020983 -0.74405061 -0.72567411 -0.69538206 -0.65367185 -0.60122837
## [31,] -0.66783078 -0.66234790 -0.64598928 -0.61902354 -0.58189345 -0.53520868
## [32,] -0.59007662 -0.58523209 -0.57077808 -0.54695190 -0.51414479 -0.47289544
## [33,] -0.51951019 -0.51524502 -0.50251954 -0.48154270 -0.45265895 -0.41634255
## [34,] -0.45704468 -0.45329235 -0.44209697 -0.42364238 -0.39823158 -0.36628184
## [35,] -0.40258707 -0.39928184 -0.38942041 -0.37316471 -0.35078165 -0.32263877
## [36,] -0.35551960 -0.35260078 -0.34389228 -0.32953707 -0.30977087 -0.28491825
## [37,] -0.31500833 -0.31242211 -0.30470594 -0.29198650 -0.27447265 -0.25245196
## [38,] -0.28017962 -0.27787935 -0.27101630 -0.25970318 -0.24412574 -0.22453976
## [39,] -0.25020994 -0.24815572 -0.24202679 -0.23192379 -0.21801260 -0.20052166
## [40,] -0.22436448 -0.22252245 -0.21702661 -0.20796720 -0.19549297 -0.17980875
## [41,] -0.20200763 -0.20034915 -0.19540094 -0.18724425 -0.17601302 -0.16189166
## [42,] -0.18259945 -0.18110031 -0.17662751 -0.16925449 -0.15910231 -0.14633769
## [43,] -0.16568601 -0.16432573 -0.16026723 -0.15357714 -0.14436532 -0.13278303
## [44,] -0.15088778 -0.14964899 -0.14595297 -0.13986041 -0.13147134 -0.12092352
## [45,] -0.13788811 -0.13675606 -0.13337846 -0.12781080 -0.12014449 -0.11050541
## [46,] -0.12642295 -0.12538502 -0.12228827 -0.11718355 -0.11015468 -0.10131707
## [47,] -0.11627176 -0.11531717 -0.11246907 -0.10777424 -0.10130976 -0.09318177
## [48,] -0.10724999 -0.10636947 -0.10374236 -0.09941181 -0.09344892 -0.08595160
## [49,] -0.09920276 -0.09838830 -0.09595832 -0.09195270 -0.08643722 -0.07950244
## [50,] -0.09199967 -0.09124435 -0.08899081 -0.08527603 -0.08016103 -0.07372979
## [,7] [,8] [,9] [,10] [,11] [,12]
## [1,] -0.06608790 -0.05736085 -0.04769194 -0.03723993 -0.02617644 -0.01468314
## [2,] -0.07126224 -0.06185191 -0.05142597 -0.04015562 -0.02822592 -0.01583275
## [3,] -0.07704296 -0.06686927 -0.05559760 -0.04341301 -0.03051558 -0.01711709
## [4,] -0.08352374 -0.07249426 -0.06027442 -0.04706487 -0.03308252 -0.01855696
## [5,] -0.09081584 -0.07882342 -0.06553672 -0.05117390 -0.03597082 -0.02017709
## [6,] -0.09905184 -0.08597183 -0.07148017 -0.05581481 -0.03923297 -0.02200693
## [7,] -0.10839014 -0.09407699 -0.07821910 -0.06107686 -0.04293173 -0.02408167
## [8,] -0.11902044 -0.10330354 -0.08589040 -0.06706694 -0.04714224 -0.02644347
## [9,] -0.13117020 -0.11384889 -0.09465820 -0.07391322 -0.05195458 -0.02914285
## [10,] -0.14511205 -0.12594970 -0.10471925 -0.08176932 -0.05747674 -0.03224040
## [11,] -0.16117208 -0.13988897 -0.11630888 -0.09081901 -0.06383788 -0.03580855
## [12,] -0.17973815 -0.15600335 -0.12970697 -0.10128082 -0.07119163 -0.03993348
## [13,] -0.20126685 -0.17468913 -0.14524303 -0.11341204 -0.07971883 -0.04471664
## [14,] -0.22628603 -0.19640448 -0.16329798 -0.12751012 -0.08962856 -0.05027530
## [15,] -0.25538727 -0.22166284 -0.18429872 -0.14390841 -0.10115513 -0.05674089
## [16,] -0.28919816 -0.25100894 -0.20869815 -0.16296054 -0.11454713 -0.06425285
## [17,] -0.32831775 -0.28496270 -0.23692857 -0.18500408 -0.13004182 -0.07294428
## [18,] -0.37318981 -0.32390931 -0.26931022 -0.21028907 -0.14781498 -0.08291377
## [19,] -0.42388115 -0.36790675 -0.30589133 -0.23885319 -0.16789308 -0.09417617
## [20,] -0.47973581 -0.41638568 -0.34619851 -0.27032678 -0.19001628 -0.10658572
## [21,] -0.53891274 -0.46774818 -0.38890320 -0.30367244 -0.21345539 -0.11973341
## [22,] -0.59791668 -0.51896052 -0.43148304 -0.33692062 -0.23682598 -0.13284266
## [23,] -0.65140713 -0.56538744 -0.47008411 -0.36706201 -0.25801276 -0.14472695
## [24,] -0.69272169 -0.60124633 -0.49989852 -0.39034239 -0.27437685 -0.15390605
## [25,] -0.71540858 -0.62093736 -0.51627038 -0.40312624 -0.28336279 -0.15894653
## [26,] -0.71540858 -0.62093736 -0.51627038 -0.40312624 -0.28336279 -0.15894653
## [27,] -0.69272169 -0.60124633 -0.49989852 -0.39034239 -0.27437685 -0.15390605
## [28,] -0.65140713 -0.56538744 -0.47008411 -0.36706201 -0.25801276 -0.14472695
## [29,] -0.59791668 -0.51896052 -0.43148304 -0.33692062 -0.23682598 -0.13284266
## [30,] -0.53891274 -0.46774818 -0.38890320 -0.30367244 -0.21345539 -0.11973341
## [31,] -0.47973581 -0.41638568 -0.34619851 -0.27032678 -0.19001628 -0.10658572
## [32,] -0.42388115 -0.36790675 -0.30589133 -0.23885319 -0.16789308 -0.09417617
## [33,] -0.37318981 -0.32390931 -0.26931022 -0.21028907 -0.14781498 -0.08291377
## [34,] -0.32831775 -0.28496270 -0.23692857 -0.18500408 -0.13004182 -0.07294428
## [35,] -0.28919816 -0.25100894 -0.20869815 -0.16296054 -0.11454713 -0.06425285
## [36,] -0.25538727 -0.22166284 -0.18429872 -0.14390841 -0.10115513 -0.05674089
## [37,] -0.22628603 -0.19640448 -0.16329798 -0.12751012 -0.08962856 -0.05027530
## [38,] -0.20126685 -0.17468913 -0.14524303 -0.11341204 -0.07971883 -0.04471664
## [39,] -0.17973815 -0.15600335 -0.12970697 -0.10128082 -0.07119163 -0.03993348
## [40,] -0.16117208 -0.13988897 -0.11630888 -0.09081901 -0.06383788 -0.03580855
## [41,] -0.14511205 -0.12594970 -0.10471925 -0.08176932 -0.05747674 -0.03224040
## [42,] -0.13117020 -0.11384889 -0.09465820 -0.07391322 -0.05195458 -0.02914285
## [43,] -0.11902044 -0.10330354 -0.08589040 -0.06706694 -0.04714224 -0.02644347
## [44,] -0.10839014 -0.09407699 -0.07821910 -0.06107686 -0.04293173 -0.02408167
## [45,] -0.09905184 -0.08597183 -0.07148017 -0.05581481 -0.03923297 -0.02200693
## [46,] -0.09081584 -0.07882342 -0.06553672 -0.05117390 -0.03597082 -0.02017709
## [47,] -0.08352374 -0.07249426 -0.06027442 -0.04706487 -0.03308252 -0.01855696
## [48,] -0.07704296 -0.06686927 -0.05559760 -0.04341301 -0.03051558 -0.01711709
## [49,] -0.07126224 -0.06185191 -0.05142597 -0.04015562 -0.02822592 -0.01583275
## [50,] -0.06608790 -0.05736085 -0.04769194 -0.03723993 -0.02617644 -0.01468314
## [,13] [,14] [,15] [,16] [,17] [,18]
## [1,] -0.002948735 0.008834087 0.02047185 0.03177347 0.04255337 0.05263454
## [2,] -0.003179605 0.009525749 0.02207469 0.03426117 0.04588507 0.05675555
## [3,] -0.003437531 0.010298468 0.02386537 0.03704040 0.04960723 0.06135950
## [4,] -0.003726693 0.011164766 0.02587290 0.04015620 0.05378014 0.06652101
## [5,] -0.004052055 0.012139514 0.02813175 0.04366207 0.05847545 0.07232868
## [6,] -0.004419532 0.013240434 0.03068299 0.04762174 0.06377853 0.07888809
## [7,] -0.004836191 0.014488701 0.03357569 0.05211137 0.06979137 0.08632541
## [8,] -0.005310498 0.015909672 0.03686861 0.05722216 0.07663613 0.09479173
## [9,] -0.005852600 0.017533752 0.04063220 0.06306347 0.08445924 0.10446819
## [10,] -0.006474663 0.019397384 0.04495093 0.06976638 0.09343626 0.11557193
## [11,] -0.007191236 0.021544156 0.04992579 0.07748765 0.10377716 0.12836266
## [12,] -0.008019623 0.024025916 0.05567695 0.08641377 0.11573168 0.14314928
## [13,] -0.008980199 0.026903695 0.06234583 0.09676425 0.12959380 0.16029543
## [14,] -0.010096514 0.030248053 0.07009595 0.10879287 0.14570341 0.18022151
## [15,] -0.011394964 0.034138067 0.07911055 0.12278404 0.16444143 0.20339868
## [16,] -0.012903551 0.038657629 0.08958405 0.13903951 0.18621194 0.23032677
## [17,] -0.014649003 0.043886814 0.10170201 0.15784726 0.21140067 0.26148288
## [18,] -0.016651121 0.049884941 0.11560189 0.17942067 0.24029336 0.29722044
## [19,] -0.018912886 0.056660942 0.13130440 0.20379184 0.27293303 0.33759266
## [20,] -0.021405030 0.064127132 0.14860633 0.23064541 0.30889731 0.38207712
## [21,] -0.024045408 0.072037417 0.16693739 0.25909626 0.34700077 0.42920754
## [22,] -0.026678068 0.079924578 0.18521486 0.28746393 0.38499284 0.47620018
## [23,] -0.029064725 0.087074741 0.20178444 0.31318085 0.41943483 0.51880171
## [24,] -0.030908113 0.092597332 0.21458233 0.33304390 0.44603689 0.55170597
## [25,] -0.031920365 0.095629927 0.22160998 0.34395120 0.46064475 0.56977453
## [26,] -0.031920365 0.095629927 0.22160998 0.34395120 0.46064475 0.56977453
## [27,] -0.030908113 0.092597332 0.21458233 0.33304390 0.44603689 0.55170597
## [28,] -0.029064725 0.087074741 0.20178444 0.31318085 0.41943483 0.51880171
## [29,] -0.026678068 0.079924578 0.18521486 0.28746393 0.38499284 0.47620018
## [30,] -0.024045408 0.072037417 0.16693739 0.25909626 0.34700077 0.42920754
## [31,] -0.021405030 0.064127132 0.14860633 0.23064541 0.30889731 0.38207712
## [32,] -0.018912886 0.056660942 0.13130440 0.20379184 0.27293303 0.33759266
## [33,] -0.016651121 0.049884941 0.11560189 0.17942067 0.24029336 0.29722044
## [34,] -0.014649003 0.043886814 0.10170201 0.15784726 0.21140067 0.26148288
## [35,] -0.012903551 0.038657629 0.08958405 0.13903951 0.18621194 0.23032677
## [36,] -0.011394964 0.034138067 0.07911055 0.12278404 0.16444143 0.20339868
## [37,] -0.010096514 0.030248053 0.07009595 0.10879287 0.14570341 0.18022151
## [38,] -0.008980199 0.026903695 0.06234583 0.09676425 0.12959380 0.16029543
## [39,] -0.008019623 0.024025916 0.05567695 0.08641377 0.11573168 0.14314928
## [40,] -0.007191236 0.021544156 0.04992579 0.07748765 0.10377716 0.12836266
## [41,] -0.006474663 0.019397384 0.04495093 0.06976638 0.09343626 0.11557193
## [42,] -0.005852600 0.017533752 0.04063220 0.06306347 0.08445924 0.10446819
## [43,] -0.005310498 0.015909672 0.03686861 0.05722216 0.07663613 0.09479173
## [44,] -0.004836191 0.014488701 0.03357569 0.05211137 0.06979137 0.08632541
## [45,] -0.004419532 0.013240434 0.03068299 0.04762174 0.06377853 0.07888809
## [46,] -0.004052055 0.012139514 0.02813175 0.04366207 0.05847545 0.07232868
## [47,] -0.003726693 0.011164766 0.02587290 0.04015620 0.05378014 0.06652101
## [48,] -0.003437531 0.010298468 0.02386537 0.03704040 0.04960723 0.06135950
## [49,] -0.003179605 0.009525749 0.02207469 0.03426117 0.04588507 0.05675555
## [50,] -0.002948735 0.008834087 0.02047185 0.03177347 0.04255337 0.05263454
## [,19] [,20] [,21] [,22] [,23] [,24]
## [1,] 0.06185146 0.07005278 0.07710383 0.08288884 0.08731281 0.09030312
## [2,] 0.06669410 0.07553754 0.08314065 0.08937860 0.09414895 0.09737338
## [3,] 0.07210426 0.08166507 0.08988494 0.09662890 0.10178622 0.10527221
## [4,] 0.07816961 0.08853466 0.09744598 0.10475723 0.11034838 0.11412761
## [5,] 0.08499426 0.09626424 0.10595357 0.11390314 0.11998243 0.12409160
## [6,] 0.09270230 0.10499435 0.11556239 0.12423290 0.13086351 0.13534534
## [7,] 0.10144199 0.11489289 0.12645725 0.13594519 0.14320091 0.14810528
## [8,] 0.11139085 0.12616095 0.13885948 0.14927794 0.15724526 0.16263062
## [9,] 0.12276177 0.13903961 0.15303443 0.16451642 0.17329706 0.17923216
## [10,] 0.13580991 0.15381789 0.16930019 0.18200258 0.19171650 0.19828244
## [11,] 0.15084044 0.17084143 0.18803720 0.20214541 0.21293440 0.22022701
## [12,] 0.16821637 0.19052135 0.20969798 0.22543137 0.23746318 0.24559586
## [13,] 0.18836501 0.21334164 0.23481520 0.25243311 0.26590608 0.27501287
## [14,] 0.21178038 0.23986182 0.26400473 0.28381270 0.29896046 0.30919931
## [15,] 0.23901614 0.27070896 0.29795674 0.32031209 0.33740791 0.34896351
## [16,] 0.27065965 0.30654830 0.33740344 0.36271842 0.38207758 0.39516303
## [17,] 0.30727155 0.34801483 0.38304371 0.41178303 0.43376088 0.44861639
## [18,] 0.34926717 0.39557894 0.43539531 0.46806251 0.49304414 0.50992999
## [19,] 0.39670903 0.44931145 0.49453619 0.53164066 0.56001560 0.57919511
## [20,] 0.44898323 0.50851705 0.55970103 0.60169474 0.63380864 0.65551542
## [21,] 0.50436673 0.57124424 0.62874193 0.67591570 0.71199095 0.73637532
## [22,] 0.55958833 0.63378805 0.69758099 0.74991967 0.78994469 0.81699884
## [23,] 0.60964988 0.69048761 0.75998756 0.81700853 0.86061424 0.89008869
## [24,] 0.64831605 0.73428080 0.80818868 0.86882612 0.91519747 0.94654129
## [25,] 0.66954863 0.75832876 0.83465714 0.89728049 0.94517051 0.97754086
## [26,] 0.66954863 0.75832876 0.83465714 0.89728049 0.94517051 0.97754086
## [27,] 0.64831605 0.73428080 0.80818868 0.86882612 0.91519747 0.94654129
## [28,] 0.60964988 0.69048761 0.75998756 0.81700853 0.86061424 0.89008869
## [29,] 0.55958833 0.63378805 0.69758099 0.74991967 0.78994469 0.81699884
## [30,] 0.50436673 0.57124424 0.62874193 0.67591570 0.71199095 0.73637532
## [31,] 0.44898323 0.50851705 0.55970103 0.60169474 0.63380864 0.65551542
## [32,] 0.39670903 0.44931145 0.49453619 0.53164066 0.56001560 0.57919511
## [33,] 0.34926717 0.39557894 0.43539531 0.46806251 0.49304414 0.50992999
## [34,] 0.30727155 0.34801483 0.38304371 0.41178303 0.43376088 0.44861639
## [35,] 0.27065965 0.30654830 0.33740344 0.36271842 0.38207758 0.39516303
## [36,] 0.23901614 0.27070896 0.29795674 0.32031209 0.33740791 0.34896351
## [37,] 0.21178038 0.23986182 0.26400473 0.28381270 0.29896046 0.30919931
## [38,] 0.18836501 0.21334164 0.23481520 0.25243311 0.26590608 0.27501287
## [39,] 0.16821637 0.19052135 0.20969798 0.22543137 0.23746318 0.24559586
## [40,] 0.15084044 0.17084143 0.18803720 0.20214541 0.21293440 0.22022701
## [41,] 0.13580991 0.15381789 0.16930019 0.18200258 0.19171650 0.19828244
## [42,] 0.12276177 0.13903961 0.15303443 0.16451642 0.17329706 0.17923216
## [43,] 0.11139085 0.12616095 0.13885948 0.14927794 0.15724526 0.16263062
## [44,] 0.10144199 0.11489289 0.12645725 0.13594519 0.14320091 0.14810528
## [45,] 0.09270230 0.10499435 0.11556239 0.12423290 0.13086351 0.13534534
## [46,] 0.08499426 0.09626424 0.10595357 0.11390314 0.11998243 0.12409160
## [47,] 0.07816961 0.08853466 0.09744598 0.10475723 0.11034838 0.11412761
## [48,] 0.07210426 0.08166507 0.08988494 0.09662890 0.10178622 0.10527221
## [49,] 0.06669410 0.07553754 0.08314065 0.08937860 0.09414895 0.09737338
## [50,] 0.06185146 0.07005278 0.07710383 0.08288884 0.08731281 0.09030312
## [,25] [,26] [,27] [,28] [,29] [,30]
## [1,] 0.09181065 0.09181065 0.09030312 0.08731281 0.08288884 0.07710383
## [2,] 0.09899894 0.09899894 0.09737338 0.09414895 0.08937860 0.08314065
## [3,] 0.10702963 0.10702963 0.10527221 0.10178622 0.09662890 0.08988494
## [4,] 0.11603286 0.11603286 0.11412761 0.11034838 0.10475723 0.09744598
## [5,] 0.12616320 0.12616320 0.12409160 0.11998243 0.11390314 0.10595357
## [6,] 0.13760481 0.13760481 0.13534534 0.13086351 0.12423290 0.11556239
## [7,] 0.15057776 0.15057776 0.14810528 0.14320091 0.13594519 0.12645725
## [8,] 0.16534559 0.16534559 0.16263062 0.15724526 0.14927794 0.13885948
## [9,] 0.18222428 0.18222428 0.17923216 0.17329706 0.16451642 0.15303443
## [10,] 0.20159258 0.20159258 0.19828244 0.19171650 0.18200258 0.16930019
## [11,] 0.22390350 0.22390350 0.22022701 0.21293440 0.20214541 0.18803720
## [12,] 0.24969586 0.24969586 0.24559586 0.23746318 0.22543137 0.20969798
## [13,] 0.27960396 0.27960396 0.27501287 0.26590608 0.25243311 0.23481520
## [14,] 0.31436111 0.31436111 0.30919931 0.29896046 0.28381270 0.26400473
## [15,] 0.35478914 0.35478914 0.34896351 0.33740791 0.32031209 0.29795674
## [16,] 0.40175992 0.40175992 0.39516303 0.38207758 0.36271842 0.33740344
## [17,] 0.45610564 0.45610564 0.44861639 0.43376088 0.41178303 0.38304371
## [18,] 0.51844281 0.51844281 0.50992999 0.49304414 0.46806251 0.43539531
## [19,] 0.58886424 0.58886424 0.57919511 0.56001560 0.53164066 0.49453619
## [20,] 0.66645865 0.66645865 0.65551542 0.63380864 0.60169474 0.55970103
## [21,] 0.74866844 0.74866844 0.73637532 0.71199095 0.67591570 0.62874193
## [22,] 0.83063789 0.83063789 0.81699884 0.78994469 0.74991967 0.69758099
## [23,] 0.90494791 0.90494791 0.89008869 0.86061424 0.81700853 0.75998756
## [24,] 0.96234294 0.96234294 0.94654129 0.91519747 0.86882612 0.80818868
## [25,] 0.99386001 0.99386001 0.97754086 0.94517051 0.89728049 0.83465714
## [26,] 0.99386001 0.99386001 0.97754086 0.94517051 0.89728049 0.83465714
## [27,] 0.96234294 0.96234294 0.94654129 0.91519747 0.86882612 0.80818868
## [28,] 0.90494791 0.90494791 0.89008869 0.86061424 0.81700853 0.75998756
## [29,] 0.83063789 0.83063789 0.81699884 0.78994469 0.74991967 0.69758099
## [30,] 0.74866844 0.74866844 0.73637532 0.71199095 0.67591570 0.62874193
## [31,] 0.66645865 0.66645865 0.65551542 0.63380864 0.60169474 0.55970103
## [32,] 0.58886424 0.58886424 0.57919511 0.56001560 0.53164066 0.49453619
## [33,] 0.51844281 0.51844281 0.50992999 0.49304414 0.46806251 0.43539531
## [34,] 0.45610564 0.45610564 0.44861639 0.43376088 0.41178303 0.38304371
## [35,] 0.40175992 0.40175992 0.39516303 0.38207758 0.36271842 0.33740344
## [36,] 0.35478914 0.35478914 0.34896351 0.33740791 0.32031209 0.29795674
## [37,] 0.31436111 0.31436111 0.30919931 0.29896046 0.28381270 0.26400473
## [38,] 0.27960396 0.27960396 0.27501287 0.26590608 0.25243311 0.23481520
## [39,] 0.24969586 0.24969586 0.24559586 0.23746318 0.22543137 0.20969798
## [40,] 0.22390350 0.22390350 0.22022701 0.21293440 0.20214541 0.18803720
## [41,] 0.20159258 0.20159258 0.19828244 0.19171650 0.18200258 0.16930019
## [42,] 0.18222428 0.18222428 0.17923216 0.17329706 0.16451642 0.15303443
## [43,] 0.16534559 0.16534559 0.16263062 0.15724526 0.14927794 0.13885948
## [44,] 0.15057776 0.15057776 0.14810528 0.14320091 0.13594519 0.12645725
## [45,] 0.13760481 0.13760481 0.13534534 0.13086351 0.12423290 0.11556239
## [46,] 0.12616320 0.12616320 0.12409160 0.11998243 0.11390314 0.10595357
## [47,] 0.11603286 0.11603286 0.11412761 0.11034838 0.10475723 0.09744598
## [48,] 0.10702963 0.10702963 0.10527221 0.10178622 0.09662890 0.08988494
## [49,] 0.09899894 0.09899894 0.09737338 0.09414895 0.08937860 0.08314065
## [50,] 0.09181065 0.09181065 0.09030312 0.08731281 0.08288884 0.07710383
## [,31] [,32] [,33] [,34] [,35] [,36]
## [1,] 0.07005278 0.06185146 0.05263454 0.04255337 0.03177347 0.02047185
## [2,] 0.07553754 0.06669410 0.05675555 0.04588507 0.03426117 0.02207469
## [3,] 0.08166507 0.07210426 0.06135950 0.04960723 0.03704040 0.02386537
## [4,] 0.08853466 0.07816961 0.06652101 0.05378014 0.04015620 0.02587290
## [5,] 0.09626424 0.08499426 0.07232868 0.05847545 0.04366207 0.02813175
## [6,] 0.10499435 0.09270230 0.07888809 0.06377853 0.04762174 0.03068299
## [7,] 0.11489289 0.10144199 0.08632541 0.06979137 0.05211137 0.03357569
## [8,] 0.12616095 0.11139085 0.09479173 0.07663613 0.05722216 0.03686861
## [9,] 0.13903961 0.12276177 0.10446819 0.08445924 0.06306347 0.04063220
## [10,] 0.15381789 0.13580991 0.11557193 0.09343626 0.06976638 0.04495093
## [11,] 0.17084143 0.15084044 0.12836266 0.10377716 0.07748765 0.04992579
## [12,] 0.19052135 0.16821637 0.14314928 0.11573168 0.08641377 0.05567695
## [13,] 0.21334164 0.18836501 0.16029543 0.12959380 0.09676425 0.06234583
## [14,] 0.23986182 0.21178038 0.18022151 0.14570341 0.10879287 0.07009595
## [15,] 0.27070896 0.23901614 0.20339868 0.16444143 0.12278404 0.07911055
## [16,] 0.30654830 0.27065965 0.23032677 0.18621194 0.13903951 0.08958405
## [17,] 0.34801483 0.30727155 0.26148288 0.21140067 0.15784726 0.10170201
## [18,] 0.39557894 0.34926717 0.29722044 0.24029336 0.17942067 0.11560189
## [19,] 0.44931145 0.39670903 0.33759266 0.27293303 0.20379184 0.13130440
## [20,] 0.50851705 0.44898323 0.38207712 0.30889731 0.23064541 0.14860633
## [21,] 0.57124424 0.50436673 0.42920754 0.34700077 0.25909626 0.16693739
## [22,] 0.63378805 0.55958833 0.47620018 0.38499284 0.28746393 0.18521486
## [23,] 0.69048761 0.60964988 0.51880171 0.41943483 0.31318085 0.20178444
## [24,] 0.73428080 0.64831605 0.55170597 0.44603689 0.33304390 0.21458233
## [25,] 0.75832876 0.66954863 0.56977453 0.46064475 0.34395120 0.22160998
## [26,] 0.75832876 0.66954863 0.56977453 0.46064475 0.34395120 0.22160998
## [27,] 0.73428080 0.64831605 0.55170597 0.44603689 0.33304390 0.21458233
## [28,] 0.69048761 0.60964988 0.51880171 0.41943483 0.31318085 0.20178444
## [29,] 0.63378805 0.55958833 0.47620018 0.38499284 0.28746393 0.18521486
## [30,] 0.57124424 0.50436673 0.42920754 0.34700077 0.25909626 0.16693739
## [31,] 0.50851705 0.44898323 0.38207712 0.30889731 0.23064541 0.14860633
## [32,] 0.44931145 0.39670903 0.33759266 0.27293303 0.20379184 0.13130440
## [33,] 0.39557894 0.34926717 0.29722044 0.24029336 0.17942067 0.11560189
## [34,] 0.34801483 0.30727155 0.26148288 0.21140067 0.15784726 0.10170201
## [35,] 0.30654830 0.27065965 0.23032677 0.18621194 0.13903951 0.08958405
## [36,] 0.27070896 0.23901614 0.20339868 0.16444143 0.12278404 0.07911055
## [37,] 0.23986182 0.21178038 0.18022151 0.14570341 0.10879287 0.07009595
## [38,] 0.21334164 0.18836501 0.16029543 0.12959380 0.09676425 0.06234583
## [39,] 0.19052135 0.16821637 0.14314928 0.11573168 0.08641377 0.05567695
## [40,] 0.17084143 0.15084044 0.12836266 0.10377716 0.07748765 0.04992579
## [41,] 0.15381789 0.13580991 0.11557193 0.09343626 0.06976638 0.04495093
## [42,] 0.13903961 0.12276177 0.10446819 0.08445924 0.06306347 0.04063220
## [43,] 0.12616095 0.11139085 0.09479173 0.07663613 0.05722216 0.03686861
## [44,] 0.11489289 0.10144199 0.08632541 0.06979137 0.05211137 0.03357569
## [45,] 0.10499435 0.09270230 0.07888809 0.06377853 0.04762174 0.03068299
## [46,] 0.09626424 0.08499426 0.07232868 0.05847545 0.04366207 0.02813175
## [47,] 0.08853466 0.07816961 0.06652101 0.05378014 0.04015620 0.02587290
## [48,] 0.08166507 0.07210426 0.06135950 0.04960723 0.03704040 0.02386537
## [49,] 0.07553754 0.06669410 0.05675555 0.04588507 0.03426117 0.02207469
## [50,] 0.07005278 0.06185146 0.05263454 0.04255337 0.03177347 0.02047185
## [,37] [,38] [,39] [,40] [,41] [,42]
## [1,] 0.008834087 -0.002948735 -0.01468314 -0.02617644 -0.03723993 -0.04769194
## [2,] 0.009525749 -0.003179605 -0.01583275 -0.02822592 -0.04015562 -0.05142597
## [3,] 0.010298468 -0.003437531 -0.01711709 -0.03051558 -0.04341301 -0.05559760
## [4,] 0.011164766 -0.003726693 -0.01855696 -0.03308252 -0.04706487 -0.06027442
## [5,] 0.012139514 -0.004052055 -0.02017709 -0.03597082 -0.05117390 -0.06553672
## [6,] 0.013240434 -0.004419532 -0.02200693 -0.03923297 -0.05581481 -0.07148017
## [7,] 0.014488701 -0.004836191 -0.02408167 -0.04293173 -0.06107686 -0.07821910
## [8,] 0.015909672 -0.005310498 -0.02644347 -0.04714224 -0.06706694 -0.08589040
## [9,] 0.017533752 -0.005852600 -0.02914285 -0.05195458 -0.07391322 -0.09465820
## [10,] 0.019397384 -0.006474663 -0.03224040 -0.05747674 -0.08176932 -0.10471925
## [11,] 0.021544156 -0.007191236 -0.03580855 -0.06383788 -0.09081901 -0.11630888
## [12,] 0.024025916 -0.008019623 -0.03993348 -0.07119163 -0.10128082 -0.12970697
## [13,] 0.026903695 -0.008980199 -0.04471664 -0.07971883 -0.11341204 -0.14524303
## [14,] 0.030248053 -0.010096514 -0.05027530 -0.08962856 -0.12751012 -0.16329798
## [15,] 0.034138067 -0.011394964 -0.05674089 -0.10115513 -0.14390841 -0.18429872
## [16,] 0.038657629 -0.012903551 -0.06425285 -0.11454713 -0.16296054 -0.20869815
## [17,] 0.043886814 -0.014649003 -0.07294428 -0.13004182 -0.18500408 -0.23692857
## [18,] 0.049884941 -0.016651121 -0.08291377 -0.14781498 -0.21028907 -0.26931022
## [19,] 0.056660942 -0.018912886 -0.09417617 -0.16789308 -0.23885319 -0.30589133
## [20,] 0.064127132 -0.021405030 -0.10658572 -0.19001628 -0.27032678 -0.34619851
## [21,] 0.072037417 -0.024045408 -0.11973341 -0.21345539 -0.30367244 -0.38890320
## [22,] 0.079924578 -0.026678068 -0.13284266 -0.23682598 -0.33692062 -0.43148304
## [23,] 0.087074741 -0.029064725 -0.14472695 -0.25801276 -0.36706201 -0.47008411
## [24,] 0.092597332 -0.030908113 -0.15390605 -0.27437685 -0.39034239 -0.49989852
## [25,] 0.095629927 -0.031920365 -0.15894653 -0.28336279 -0.40312624 -0.51627038
## [26,] 0.095629927 -0.031920365 -0.15894653 -0.28336279 -0.40312624 -0.51627038
## [27,] 0.092597332 -0.030908113 -0.15390605 -0.27437685 -0.39034239 -0.49989852
## [28,] 0.087074741 -0.029064725 -0.14472695 -0.25801276 -0.36706201 -0.47008411
## [29,] 0.079924578 -0.026678068 -0.13284266 -0.23682598 -0.33692062 -0.43148304
## [30,] 0.072037417 -0.024045408 -0.11973341 -0.21345539 -0.30367244 -0.38890320
## [31,] 0.064127132 -0.021405030 -0.10658572 -0.19001628 -0.27032678 -0.34619851
## [32,] 0.056660942 -0.018912886 -0.09417617 -0.16789308 -0.23885319 -0.30589133
## [33,] 0.049884941 -0.016651121 -0.08291377 -0.14781498 -0.21028907 -0.26931022
## [34,] 0.043886814 -0.014649003 -0.07294428 -0.13004182 -0.18500408 -0.23692857
## [35,] 0.038657629 -0.012903551 -0.06425285 -0.11454713 -0.16296054 -0.20869815
## [36,] 0.034138067 -0.011394964 -0.05674089 -0.10115513 -0.14390841 -0.18429872
## [37,] 0.030248053 -0.010096514 -0.05027530 -0.08962856 -0.12751012 -0.16329798
## [38,] 0.026903695 -0.008980199 -0.04471664 -0.07971883 -0.11341204 -0.14524303
## [39,] 0.024025916 -0.008019623 -0.03993348 -0.07119163 -0.10128082 -0.12970697
## [40,] 0.021544156 -0.007191236 -0.03580855 -0.06383788 -0.09081901 -0.11630888
## [41,] 0.019397384 -0.006474663 -0.03224040 -0.05747674 -0.08176932 -0.10471925
## [42,] 0.017533752 -0.005852600 -0.02914285 -0.05195458 -0.07391322 -0.09465820
## [43,] 0.015909672 -0.005310498 -0.02644347 -0.04714224 -0.06706694 -0.08589040
## [44,] 0.014488701 -0.004836191 -0.02408167 -0.04293173 -0.06107686 -0.07821910
## [45,] 0.013240434 -0.004419532 -0.02200693 -0.03923297 -0.05581481 -0.07148017
## [46,] 0.012139514 -0.004052055 -0.02017709 -0.03597082 -0.05117390 -0.06553672
## [47,] 0.011164766 -0.003726693 -0.01855696 -0.03308252 -0.04706487 -0.06027442
## [48,] 0.010298468 -0.003437531 -0.01711709 -0.03051558 -0.04341301 -0.05559760
## [49,] 0.009525749 -0.003179605 -0.01583275 -0.02822592 -0.04015562 -0.05142597
## [50,] 0.008834087 -0.002948735 -0.01468314 -0.02617644 -0.03723993 -0.04769194
## [,43] [,44] [,45] [,46] [,47] [,48]
## [1,] -0.05736085 -0.06608790 -0.07372979 -0.08016103 -0.08527603 -0.08899081
## [2,] -0.06185191 -0.07126224 -0.07950244 -0.08643722 -0.09195270 -0.09595832
## [3,] -0.06686927 -0.07704296 -0.08595160 -0.09344892 -0.09941181 -0.10374236
## [4,] -0.07249426 -0.08352374 -0.09318177 -0.10130976 -0.10777424 -0.11246907
## [5,] -0.07882342 -0.09081584 -0.10131707 -0.11015468 -0.11718355 -0.12228827
## [6,] -0.08597183 -0.09905184 -0.11050541 -0.12014449 -0.12781080 -0.13337846
## [7,] -0.09407699 -0.10839014 -0.12092352 -0.13147134 -0.13986041 -0.14595297
## [8,] -0.10330354 -0.11902044 -0.13278303 -0.14436532 -0.15357714 -0.16026723
## [9,] -0.11384889 -0.13117020 -0.14633769 -0.15910231 -0.16925449 -0.17662751
## [10,] -0.12594970 -0.14511205 -0.16189166 -0.17601302 -0.18724425 -0.19540094
## [11,] -0.13988897 -0.16117208 -0.17980875 -0.19549297 -0.20796720 -0.21702661
## [12,] -0.15600335 -0.17973815 -0.20052166 -0.21801260 -0.23192379 -0.24202679
## [13,] -0.17468913 -0.20126685 -0.22453976 -0.24412574 -0.25970318 -0.27101630
## [14,] -0.19640448 -0.22628603 -0.25245196 -0.27447265 -0.29198650 -0.30470594
## [15,] -0.22166284 -0.25538727 -0.28491825 -0.30977087 -0.32953707 -0.34389228
## [16,] -0.25100894 -0.28919816 -0.32263877 -0.35078165 -0.37316471 -0.38942041
## [17,] -0.28496270 -0.32831775 -0.36628184 -0.39823158 -0.42364238 -0.44209697
## [18,] -0.32390931 -0.37318981 -0.41634255 -0.45265895 -0.48154270 -0.50251954
## [19,] -0.36790675 -0.42388115 -0.47289544 -0.51414479 -0.54695190 -0.57077808
## [20,] -0.41638568 -0.47973581 -0.53520868 -0.58189345 -0.61902354 -0.64598928
## [21,] -0.46774818 -0.53891274 -0.60122837 -0.65367185 -0.69538206 -0.72567411
## [22,] -0.51896052 -0.59791668 -0.66705506 -0.72524042 -0.77151735 -0.80512599
## [23,] -0.56538744 -0.65140713 -0.72673073 -0.79012143 -0.84053836 -0.87715367
## [24,] -0.60124633 -0.69272169 -0.77282259 -0.84023375 -0.89384830 -0.93278589
## [25,] -0.62093736 -0.71540858 -0.79813280 -0.86775170 -0.92312215 -0.96333496
## [26,] -0.62093736 -0.71540858 -0.79813280 -0.86775170 -0.92312215 -0.96333496
## [27,] -0.60124633 -0.69272169 -0.77282259 -0.84023375 -0.89384830 -0.93278589
## [28,] -0.56538744 -0.65140713 -0.72673073 -0.79012143 -0.84053836 -0.87715367
## [29,] -0.51896052 -0.59791668 -0.66705506 -0.72524042 -0.77151735 -0.80512599
## [30,] -0.46774818 -0.53891274 -0.60122837 -0.65367185 -0.69538206 -0.72567411
## [31,] -0.41638568 -0.47973581 -0.53520868 -0.58189345 -0.61902354 -0.64598928
## [32,] -0.36790675 -0.42388115 -0.47289544 -0.51414479 -0.54695190 -0.57077808
## [33,] -0.32390931 -0.37318981 -0.41634255 -0.45265895 -0.48154270 -0.50251954
## [34,] -0.28496270 -0.32831775 -0.36628184 -0.39823158 -0.42364238 -0.44209697
## [35,] -0.25100894 -0.28919816 -0.32263877 -0.35078165 -0.37316471 -0.38942041
## [36,] -0.22166284 -0.25538727 -0.28491825 -0.30977087 -0.32953707 -0.34389228
## [37,] -0.19640448 -0.22628603 -0.25245196 -0.27447265 -0.29198650 -0.30470594
## [38,] -0.17468913 -0.20126685 -0.22453976 -0.24412574 -0.25970318 -0.27101630
## [39,] -0.15600335 -0.17973815 -0.20052166 -0.21801260 -0.23192379 -0.24202679
## [40,] -0.13988897 -0.16117208 -0.17980875 -0.19549297 -0.20796720 -0.21702661
## [41,] -0.12594970 -0.14511205 -0.16189166 -0.17601302 -0.18724425 -0.19540094
## [42,] -0.11384889 -0.13117020 -0.14633769 -0.15910231 -0.16925449 -0.17662751
## [43,] -0.10330354 -0.11902044 -0.13278303 -0.14436532 -0.15357714 -0.16026723
## [44,] -0.09407699 -0.10839014 -0.12092352 -0.13147134 -0.13986041 -0.14595297
## [45,] -0.08597183 -0.09905184 -0.11050541 -0.12014449 -0.12781080 -0.13337846
## [46,] -0.07882342 -0.09081584 -0.10131707 -0.11015468 -0.11718355 -0.12228827
## [47,] -0.07249426 -0.08352374 -0.09318177 -0.10130976 -0.10777424 -0.11246907
## [48,] -0.06686927 -0.07704296 -0.08595160 -0.09344892 -0.09941181 -0.10374236
## [49,] -0.06185191 -0.07126224 -0.07950244 -0.08643722 -0.09195270 -0.09595832
## [50,] -0.05736085 -0.06608790 -0.07372979 -0.08016103 -0.08527603 -0.08899081
## [,49] [,50]
## [1,] -0.09124435 -0.09199967
## [2,] -0.09838830 -0.09920276
## [3,] -0.10636947 -0.10724999
## [4,] -0.11531717 -0.11627176
## [5,] -0.12538502 -0.12642295
## [6,] -0.13675606 -0.13788811
## [7,] -0.14964899 -0.15088778
## [8,] -0.16432573 -0.16568601
## [9,] -0.18110031 -0.18259945
## [10,] -0.20034915 -0.20200763
## [11,] -0.22252245 -0.22436448
## [12,] -0.24815572 -0.25020994
## [13,] -0.27787935 -0.28017962
## [14,] -0.31242211 -0.31500833
## [15,] -0.35260078 -0.35551960
## [16,] -0.39928184 -0.40258707
## [17,] -0.45329235 -0.45704468
## [18,] -0.51524502 -0.51951019
## [19,] -0.58523209 -0.59007662
## [20,] -0.66234790 -0.66783078
## [21,] -0.74405061 -0.75020983
## [22,] -0.82551448 -0.83234804
## [23,] -0.89936615 -0.90681105
## [24,] -0.95640716 -0.96432424
## [25,] -0.98772983 -0.99590621
## [26,] -0.98772983 -0.99590621
## [27,] -0.95640716 -0.96432424
## [28,] -0.89936615 -0.90681105
## [29,] -0.82551448 -0.83234804
## [30,] -0.74405061 -0.75020983
## [31,] -0.66234790 -0.66783078
## [32,] -0.58523209 -0.59007662
## [33,] -0.51524502 -0.51951019
## [34,] -0.45329235 -0.45704468
## [35,] -0.39928184 -0.40258707
## [36,] -0.35260078 -0.35551960
## [37,] -0.31242211 -0.31500833
## [38,] -0.27787935 -0.28017962
## [39,] -0.24815572 -0.25020994
## [40,] -0.22252245 -0.22436448
## [41,] -0.20034915 -0.20200763
## [42,] -0.18110031 -0.18259945
## [43,] -0.16432573 -0.16568601
## [44,] -0.14964899 -0.15088778
## [45,] -0.13675606 -0.13788811
## [46,] -0.12538502 -0.12642295
## [47,] -0.11531717 -0.11627176
## [48,] -0.10636947 -0.10724999
## [49,] -0.09838830 -0.09920276
## [50,] -0.09124435 -0.09199967contour(x, y, f)
contour(x,y,f,nlevels=45,add=T)
fa <- (f-t(f))/2
contour(x,y,fa,nlevels=15)
image()to produce a color-coded plot whose colors depend on the z value (a.k.a. heatmap)
image(x,y,fa)
persp()to produce a three-dimensional plot - The arguments theta and phi control the angles at which the plot is viewed.
persp(x,y,fa)
persp(x,y,fa,theta=30)
persp(x,y,fa,theta=30,phi=20)
persp(x,y,fa,theta=30,phi=70)
persp(x,y,fa,theta=30,phi=40)
1.3 Indexing data
Examining a subset of a dataset A
A <- matrix(1:16,4,4)
A## [,1] [,2] [,3] [,4]
## [1,] 1 5 9 13
## [2,] 2 6 10 14
## [3,] 3 7 11 15
## [4,] 4 8 12 16A[2,3]## [1] 10A[c(1,3),c(2,4)]## [,1] [,2]
## [1,] 5 13
## [2,] 7 15A[1:3,2:4]## [,1] [,2] [,3]
## [1,] 5 9 13
## [2,] 6 10 14
## [3,] 7 11 15A[1,]## [1] 1 5 9 13A[1:2,]## [,1] [,2] [,3] [,4]
## [1,] 1 5 9 13
## [2,] 2 6 10 14A[,1:2]## [,1] [,2]
## [1,] 1 5
## [2,] 2 6
## [3,] 3 7
## [4,] 4 8A[-c(1,3),]## [,1] [,2] [,3] [,4]
## [1,] 2 6 10 14
## [2,] 4 8 12 16dimensions
dim(A)## [1] 4 41.4 Loading data
library(ISLR)
Auto## mpg cylinders displacement horsepower weight acceleration year origin
## 1 18.0 8 307.0 130 3504 12.0 70 1
## 2 15.0 8 350.0 165 3693 11.5 70 1
## 3 18.0 8 318.0 150 3436 11.0 70 1
## 4 16.0 8 304.0 150 3433 12.0 70 1
## 5 17.0 8 302.0 140 3449 10.5 70 1
## 6 15.0 8 429.0 198 4341 10.0 70 1
## 7 14.0 8 454.0 220 4354 9.0 70 1
## 8 14.0 8 440.0 215 4312 8.5 70 1
## 9 14.0 8 455.0 225 4425 10.0 70 1
## 10 15.0 8 390.0 190 3850 8.5 70 1
## 11 15.0 8 383.0 170 3563 10.0 70 1
## 12 14.0 8 340.0 160 3609 8.0 70 1
## 13 15.0 8 400.0 150 3761 9.5 70 1
## 14 14.0 8 455.0 225 3086 10.0 70 1
## 15 24.0 4 113.0 95 2372 15.0 70 3
## 16 22.0 6 198.0 95 2833 15.5 70 1
## 17 18.0 6 199.0 97 2774 15.5 70 1
## 18 21.0 6 200.0 85 2587 16.0 70 1
## 19 27.0 4 97.0 88 2130 14.5 70 3
## 20 26.0 4 97.0 46 1835 20.5 70 2
## 21 25.0 4 110.0 87 2672 17.5 70 2
## 22 24.0 4 107.0 90 2430 14.5 70 2
## 23 25.0 4 104.0 95 2375 17.5 70 2
## 24 26.0 4 121.0 113 2234 12.5 70 2
## 25 21.0 6 199.0 90 2648 15.0 70 1
## 26 10.0 8 360.0 215 4615 14.0 70 1
## 27 10.0 8 307.0 200 4376 15.0 70 1
## 28 11.0 8 318.0 210 4382 13.5 70 1
## 29 9.0 8 304.0 193 4732 18.5 70 1
## 30 27.0 4 97.0 88 2130 14.5 71 3
## 31 28.0 4 140.0 90 2264 15.5 71 1
## 32 25.0 4 113.0 95 2228 14.0 71 3
## 34 19.0 6 232.0 100 2634 13.0 71 1
## 35 16.0 6 225.0 105 3439 15.5 71 1
## 36 17.0 6 250.0 100 3329 15.5 71 1
## 37 19.0 6 250.0 88 3302 15.5 71 1
## 38 18.0 6 232.0 100 3288 15.5 71 1
## 39 14.0 8 350.0 165 4209 12.0 71 1
## 40 14.0 8 400.0 175 4464 11.5 71 1
## 41 14.0 8 351.0 153 4154 13.5 71 1
## 42 14.0 8 318.0 150 4096 13.0 71 1
## 43 12.0 8 383.0 180 4955 11.5 71 1
## 44 13.0 8 400.0 170 4746 12.0 71 1
## 45 13.0 8 400.0 175 5140 12.0 71 1
## 46 18.0 6 258.0 110 2962 13.5 71 1
## 47 22.0 4 140.0 72 2408 19.0 71 1
## 48 19.0 6 250.0 100 3282 15.0 71 1
## 49 18.0 6 250.0 88 3139 14.5 71 1
## 50 23.0 4 122.0 86 2220 14.0 71 1
## 51 28.0 4 116.0 90 2123 14.0 71 2
## 52 30.0 4 79.0 70 2074 19.5 71 2
## 53 30.0 4 88.0 76 2065 14.5 71 2
## 54 31.0 4 71.0 65 1773 19.0 71 3
## 55 35.0 4 72.0 69 1613 18.0 71 3
## 56 27.0 4 97.0 60 1834 19.0 71 2
## 57 26.0 4 91.0 70 1955 20.5 71 1
## 58 24.0 4 113.0 95 2278 15.5 72 3
## 59 25.0 4 97.5 80 2126 17.0 72 1
## 60 23.0 4 97.0 54 2254 23.5 72 2
## 61 20.0 4 140.0 90 2408 19.5 72 1
## 62 21.0 4 122.0 86 2226 16.5 72 1
## 63 13.0 8 350.0 165 4274 12.0 72 1
## 64 14.0 8 400.0 175 4385 12.0 72 1
## 65 15.0 8 318.0 150 4135 13.5 72 1
## 66 14.0 8 351.0 153 4129 13.0 72 1
## 67 17.0 8 304.0 150 3672 11.5 72 1
## 68 11.0 8 429.0 208 4633 11.0 72 1
## 69 13.0 8 350.0 155 4502 13.5 72 1
## 70 12.0 8 350.0 160 4456 13.5 72 1
## 71 13.0 8 400.0 190 4422 12.5 72 1
## 72 19.0 3 70.0 97 2330 13.5 72 3
## 73 15.0 8 304.0 150 3892 12.5 72 1
## 74 13.0 8 307.0 130 4098 14.0 72 1
## 75 13.0 8 302.0 140 4294 16.0 72 1
## 76 14.0 8 318.0 150 4077 14.0 72 1
## 77 18.0 4 121.0 112 2933 14.5 72 2
## 78 22.0 4 121.0 76 2511 18.0 72 2
## 79 21.0 4 120.0 87 2979 19.5 72 2
## 80 26.0 4 96.0 69 2189 18.0 72 2
## 81 22.0 4 122.0 86 2395 16.0 72 1
## 82 28.0 4 97.0 92 2288 17.0 72 3
## 83 23.0 4 120.0 97 2506 14.5 72 3
## 84 28.0 4 98.0 80 2164 15.0 72 1
## 85 27.0 4 97.0 88 2100 16.5 72 3
## 86 13.0 8 350.0 175 4100 13.0 73 1
## 87 14.0 8 304.0 150 3672 11.5 73 1
## 88 13.0 8 350.0 145 3988 13.0 73 1
## 89 14.0 8 302.0 137 4042 14.5 73 1
## 90 15.0 8 318.0 150 3777 12.5 73 1
## 91 12.0 8 429.0 198 4952 11.5 73 1
## 92 13.0 8 400.0 150 4464 12.0 73 1
## 93 13.0 8 351.0 158 4363 13.0 73 1
## 94 14.0 8 318.0 150 4237 14.5 73 1
## 95 13.0 8 440.0 215 4735 11.0 73 1
## 96 12.0 8 455.0 225 4951 11.0 73 1
## 97 13.0 8 360.0 175 3821 11.0 73 1
## 98 18.0 6 225.0 105 3121 16.5 73 1
## 99 16.0 6 250.0 100 3278 18.0 73 1
## 100 18.0 6 232.0 100 2945 16.0 73 1
## 101 18.0 6 250.0 88 3021 16.5 73 1
## 102 23.0 6 198.0 95 2904 16.0 73 1
## 103 26.0 4 97.0 46 1950 21.0 73 2
## 104 11.0 8 400.0 150 4997 14.0 73 1
## 105 12.0 8 400.0 167 4906 12.5 73 1
## 106 13.0 8 360.0 170 4654 13.0 73 1
## 107 12.0 8 350.0 180 4499 12.5 73 1
## 108 18.0 6 232.0 100 2789 15.0 73 1
## 109 20.0 4 97.0 88 2279 19.0 73 3
## 110 21.0 4 140.0 72 2401 19.5 73 1
## 111 22.0 4 108.0 94 2379 16.5 73 3
## 112 18.0 3 70.0 90 2124 13.5 73 3
## 113 19.0 4 122.0 85 2310 18.5 73 1
## 114 21.0 6 155.0 107 2472 14.0 73 1
## 115 26.0 4 98.0 90 2265 15.5 73 2
## 116 15.0 8 350.0 145 4082 13.0 73 1
## 117 16.0 8 400.0 230 4278 9.5 73 1
## 118 29.0 4 68.0 49 1867 19.5 73 2
## 119 24.0 4 116.0 75 2158 15.5 73 2
## 120 20.0 4 114.0 91 2582 14.0 73 2
## 121 19.0 4 121.0 112 2868 15.5 73 2
## 122 15.0 8 318.0 150 3399 11.0 73 1
## 123 24.0 4 121.0 110 2660 14.0 73 2
## 124 20.0 6 156.0 122 2807 13.5 73 3
## 125 11.0 8 350.0 180 3664 11.0 73 1
## 126 20.0 6 198.0 95 3102 16.5 74 1
## 128 19.0 6 232.0 100 2901 16.0 74 1
## 129 15.0 6 250.0 100 3336 17.0 74 1
## 130 31.0 4 79.0 67 1950 19.0 74 3
## 131 26.0 4 122.0 80 2451 16.5 74 1
## 132 32.0 4 71.0 65 1836 21.0 74 3
## 133 25.0 4 140.0 75 2542 17.0 74 1
## 134 16.0 6 250.0 100 3781 17.0 74 1
## 135 16.0 6 258.0 110 3632 18.0 74 1
## 136 18.0 6 225.0 105 3613 16.5 74 1
## 137 16.0 8 302.0 140 4141 14.0 74 1
## 138 13.0 8 350.0 150 4699 14.5 74 1
## 139 14.0 8 318.0 150 4457 13.5 74 1
## 140 14.0 8 302.0 140 4638 16.0 74 1
## 141 14.0 8 304.0 150 4257 15.5 74 1
## 142 29.0 4 98.0 83 2219 16.5 74 2
## 143 26.0 4 79.0 67 1963 15.5 74 2
## 144 26.0 4 97.0 78 2300 14.5 74 2
## 145 31.0 4 76.0 52 1649 16.5 74 3
## 146 32.0 4 83.0 61 2003 19.0 74 3
## 147 28.0 4 90.0 75 2125 14.5 74 1
## 148 24.0 4 90.0 75 2108 15.5 74 2
## 149 26.0 4 116.0 75 2246 14.0 74 2
## 150 24.0 4 120.0 97 2489 15.0 74 3
## 151 26.0 4 108.0 93 2391 15.5 74 3
## 152 31.0 4 79.0 67 2000 16.0 74 2
## 153 19.0 6 225.0 95 3264 16.0 75 1
## 154 18.0 6 250.0 105 3459 16.0 75 1
## 155 15.0 6 250.0 72 3432 21.0 75 1
## 156 15.0 6 250.0 72 3158 19.5 75 1
## 157 16.0 8 400.0 170 4668 11.5 75 1
## 158 15.0 8 350.0 145 4440 14.0 75 1
## 159 16.0 8 318.0 150 4498 14.5 75 1
## 160 14.0 8 351.0 148 4657 13.5 75 1
## 161 17.0 6 231.0 110 3907 21.0 75 1
## 162 16.0 6 250.0 105 3897 18.5 75 1
## 163 15.0 6 258.0 110 3730 19.0 75 1
## 164 18.0 6 225.0 95 3785 19.0 75 1
## 165 21.0 6 231.0 110 3039 15.0 75 1
## 166 20.0 8 262.0 110 3221 13.5 75 1
## 167 13.0 8 302.0 129 3169 12.0 75 1
## 168 29.0 4 97.0 75 2171 16.0 75 3
## 169 23.0 4 140.0 83 2639 17.0 75 1
## 170 20.0 6 232.0 100 2914 16.0 75 1
## 171 23.0 4 140.0 78 2592 18.5 75 1
## 172 24.0 4 134.0 96 2702 13.5 75 3
## 173 25.0 4 90.0 71 2223 16.5 75 2
## 174 24.0 4 119.0 97 2545 17.0 75 3
## 175 18.0 6 171.0 97 2984 14.5 75 1
## 176 29.0 4 90.0 70 1937 14.0 75 2
## 177 19.0 6 232.0 90 3211 17.0 75 1
## 178 23.0 4 115.0 95 2694 15.0 75 2
## 179 23.0 4 120.0 88 2957 17.0 75 2
## 180 22.0 4 121.0 98 2945 14.5 75 2
## 181 25.0 4 121.0 115 2671 13.5 75 2
## 182 33.0 4 91.0 53 1795 17.5 75 3
## 183 28.0 4 107.0 86 2464 15.5 76 2
## 184 25.0 4 116.0 81 2220 16.9 76 2
## 185 25.0 4 140.0 92 2572 14.9 76 1
## 186 26.0 4 98.0 79 2255 17.7 76 1
## 187 27.0 4 101.0 83 2202 15.3 76 2
## 188 17.5 8 305.0 140 4215 13.0 76 1
## 189 16.0 8 318.0 150 4190 13.0 76 1
## 190 15.5 8 304.0 120 3962 13.9 76 1
## 191 14.5 8 351.0 152 4215 12.8 76 1
## 192 22.0 6 225.0 100 3233 15.4 76 1
## 193 22.0 6 250.0 105 3353 14.5 76 1
## 194 24.0 6 200.0 81 3012 17.6 76 1
## 195 22.5 6 232.0 90 3085 17.6 76 1
## 196 29.0 4 85.0 52 2035 22.2 76 1
## 197 24.5 4 98.0 60 2164 22.1 76 1
## 198 29.0 4 90.0 70 1937 14.2 76 2
## 199 33.0 4 91.0 53 1795 17.4 76 3
## 200 20.0 6 225.0 100 3651 17.7 76 1
## 201 18.0 6 250.0 78 3574 21.0 76 1
## 202 18.5 6 250.0 110 3645 16.2 76 1
## 203 17.5 6 258.0 95 3193 17.8 76 1
## 204 29.5 4 97.0 71 1825 12.2 76 2
## 205 32.0 4 85.0 70 1990 17.0 76 3
## 206 28.0 4 97.0 75 2155 16.4 76 3
## 207 26.5 4 140.0 72 2565 13.6 76 1
## 208 20.0 4 130.0 102 3150 15.7 76 2
## 209 13.0 8 318.0 150 3940 13.2 76 1
## 210 19.0 4 120.0 88 3270 21.9 76 2
## 211 19.0 6 156.0 108 2930 15.5 76 3
## 212 16.5 6 168.0 120 3820 16.7 76 2
## 213 16.5 8 350.0 180 4380 12.1 76 1
## 214 13.0 8 350.0 145 4055 12.0 76 1
## 215 13.0 8 302.0 130 3870 15.0 76 1
## 216 13.0 8 318.0 150 3755 14.0 76 1
## 217 31.5 4 98.0 68 2045 18.5 77 3
## 218 30.0 4 111.0 80 2155 14.8 77 1
## 219 36.0 4 79.0 58 1825 18.6 77 2
## 220 25.5 4 122.0 96 2300 15.5 77 1
## 221 33.5 4 85.0 70 1945 16.8 77 3
## 222 17.5 8 305.0 145 3880 12.5 77 1
## 223 17.0 8 260.0 110 4060 19.0 77 1
## 224 15.5 8 318.0 145 4140 13.7 77 1
## 225 15.0 8 302.0 130 4295 14.9 77 1
## 226 17.5 6 250.0 110 3520 16.4 77 1
## 227 20.5 6 231.0 105 3425 16.9 77 1
## 228 19.0 6 225.0 100 3630 17.7 77 1
## 229 18.5 6 250.0 98 3525 19.0 77 1
## 230 16.0 8 400.0 180 4220 11.1 77 1
## 231 15.5 8 350.0 170 4165 11.4 77 1
## 232 15.5 8 400.0 190 4325 12.2 77 1
## 233 16.0 8 351.0 149 4335 14.5 77 1
## 234 29.0 4 97.0 78 1940 14.5 77 2
## 235 24.5 4 151.0 88 2740 16.0 77 1
## 236 26.0 4 97.0 75 2265 18.2 77 3
## 237 25.5 4 140.0 89 2755 15.8 77 1
## 238 30.5 4 98.0 63 2051 17.0 77 1
## 239 33.5 4 98.0 83 2075 15.9 77 1
## 240 30.0 4 97.0 67 1985 16.4 77 3
## 241 30.5 4 97.0 78 2190 14.1 77 2
## 242 22.0 6 146.0 97 2815 14.5 77 3
## 243 21.5 4 121.0 110 2600 12.8 77 2
## 244 21.5 3 80.0 110 2720 13.5 77 3
## 245 43.1 4 90.0 48 1985 21.5 78 2
## 246 36.1 4 98.0 66 1800 14.4 78 1
## 247 32.8 4 78.0 52 1985 19.4 78 3
## 248 39.4 4 85.0 70 2070 18.6 78 3
## 249 36.1 4 91.0 60 1800 16.4 78 3
## 250 19.9 8 260.0 110 3365 15.5 78 1
## 251 19.4 8 318.0 140 3735 13.2 78 1
## 252 20.2 8 302.0 139 3570 12.8 78 1
## 253 19.2 6 231.0 105 3535 19.2 78 1
## 254 20.5 6 200.0 95 3155 18.2 78 1
## 255 20.2 6 200.0 85 2965 15.8 78 1
## 256 25.1 4 140.0 88 2720 15.4 78 1
## 257 20.5 6 225.0 100 3430 17.2 78 1
## 258 19.4 6 232.0 90 3210 17.2 78 1
## 259 20.6 6 231.0 105 3380 15.8 78 1
## 260 20.8 6 200.0 85 3070 16.7 78 1
## 261 18.6 6 225.0 110 3620 18.7 78 1
## 262 18.1 6 258.0 120 3410 15.1 78 1
## 263 19.2 8 305.0 145 3425 13.2 78 1
## 264 17.7 6 231.0 165 3445 13.4 78 1
## 265 18.1 8 302.0 139 3205 11.2 78 1
## 266 17.5 8 318.0 140 4080 13.7 78 1
## 267 30.0 4 98.0 68 2155 16.5 78 1
## 268 27.5 4 134.0 95 2560 14.2 78 3
## 269 27.2 4 119.0 97 2300 14.7 78 3
## 270 30.9 4 105.0 75 2230 14.5 78 1
## 271 21.1 4 134.0 95 2515 14.8 78 3
## 272 23.2 4 156.0 105 2745 16.7 78 1
## 273 23.8 4 151.0 85 2855 17.6 78 1
## 274 23.9 4 119.0 97 2405 14.9 78 3
## 275 20.3 5 131.0 103 2830 15.9 78 2
## 276 17.0 6 163.0 125 3140 13.6 78 2
## 277 21.6 4 121.0 115 2795 15.7 78 2
## 278 16.2 6 163.0 133 3410 15.8 78 2
## 279 31.5 4 89.0 71 1990 14.9 78 2
## 280 29.5 4 98.0 68 2135 16.6 78 3
## 281 21.5 6 231.0 115 3245 15.4 79 1
## 282 19.8 6 200.0 85 2990 18.2 79 1
## 283 22.3 4 140.0 88 2890 17.3 79 1
## 284 20.2 6 232.0 90 3265 18.2 79 1
## 285 20.6 6 225.0 110 3360 16.6 79 1
## 286 17.0 8 305.0 130 3840 15.4 79 1
## 287 17.6 8 302.0 129 3725 13.4 79 1
## 288 16.5 8 351.0 138 3955 13.2 79 1
## 289 18.2 8 318.0 135 3830 15.2 79 1
## 290 16.9 8 350.0 155 4360 14.9 79 1
## 291 15.5 8 351.0 142 4054 14.3 79 1
## 292 19.2 8 267.0 125 3605 15.0 79 1
## 293 18.5 8 360.0 150 3940 13.0 79 1
## 294 31.9 4 89.0 71 1925 14.0 79 2
## 295 34.1 4 86.0 65 1975 15.2 79 3
## 296 35.7 4 98.0 80 1915 14.4 79 1
## 297 27.4 4 121.0 80 2670 15.0 79 1
## 298 25.4 5 183.0 77 3530 20.1 79 2
## 299 23.0 8 350.0 125 3900 17.4 79 1
## 300 27.2 4 141.0 71 3190 24.8 79 2
## 301 23.9 8 260.0 90 3420 22.2 79 1
## 302 34.2 4 105.0 70 2200 13.2 79 1
## 303 34.5 4 105.0 70 2150 14.9 79 1
## 304 31.8 4 85.0 65 2020 19.2 79 3
## 305 37.3 4 91.0 69 2130 14.7 79 2
## 306 28.4 4 151.0 90 2670 16.0 79 1
## 307 28.8 6 173.0 115 2595 11.3 79 1
## 308 26.8 6 173.0 115 2700 12.9 79 1
## 309 33.5 4 151.0 90 2556 13.2 79 1
## 310 41.5 4 98.0 76 2144 14.7 80 2
## 311 38.1 4 89.0 60 1968 18.8 80 3
## 312 32.1 4 98.0 70 2120 15.5 80 1
## 313 37.2 4 86.0 65 2019 16.4 80 3
## 314 28.0 4 151.0 90 2678 16.5 80 1
## 315 26.4 4 140.0 88 2870 18.1 80 1
## 316 24.3 4 151.0 90 3003 20.1 80 1
## 317 19.1 6 225.0 90 3381 18.7 80 1
## 318 34.3 4 97.0 78 2188 15.8 80 2
## 319 29.8 4 134.0 90 2711 15.5 80 3
## 320 31.3 4 120.0 75 2542 17.5 80 3
## 321 37.0 4 119.0 92 2434 15.0 80 3
## 322 32.2 4 108.0 75 2265 15.2 80 3
## 323 46.6 4 86.0 65 2110 17.9 80 3
## 324 27.9 4 156.0 105 2800 14.4 80 1
## 325 40.8 4 85.0 65 2110 19.2 80 3
## 326 44.3 4 90.0 48 2085 21.7 80 2
## 327 43.4 4 90.0 48 2335 23.7 80 2
## 328 36.4 5 121.0 67 2950 19.9 80 2
## 329 30.0 4 146.0 67 3250 21.8 80 2
## 330 44.6 4 91.0 67 1850 13.8 80 3
## 332 33.8 4 97.0 67 2145 18.0 80 3
## 333 29.8 4 89.0 62 1845 15.3 80 2
## 334 32.7 6 168.0 132 2910 11.4 80 3
## 335 23.7 3 70.0 100 2420 12.5 80 3
## 336 35.0 4 122.0 88 2500 15.1 80 2
## 338 32.4 4 107.0 72 2290 17.0 80 3
## 339 27.2 4 135.0 84 2490 15.7 81 1
## 340 26.6 4 151.0 84 2635 16.4 81 1
## 341 25.8 4 156.0 92 2620 14.4 81 1
## 342 23.5 6 173.0 110 2725 12.6 81 1
## 343 30.0 4 135.0 84 2385 12.9 81 1
## 344 39.1 4 79.0 58 1755 16.9 81 3
## 345 39.0 4 86.0 64 1875 16.4 81 1
## 346 35.1 4 81.0 60 1760 16.1 81 3
## 347 32.3 4 97.0 67 2065 17.8 81 3
## 348 37.0 4 85.0 65 1975 19.4 81 3
## 349 37.7 4 89.0 62 2050 17.3 81 3
## 350 34.1 4 91.0 68 1985 16.0 81 3
## 351 34.7 4 105.0 63 2215 14.9 81 1
## 352 34.4 4 98.0 65 2045 16.2 81 1
## 353 29.9 4 98.0 65 2380 20.7 81 1
## 354 33.0 4 105.0 74 2190 14.2 81 2
## 356 33.7 4 107.0 75 2210 14.4 81 3
## 357 32.4 4 108.0 75 2350 16.8 81 3
## 358 32.9 4 119.0 100 2615 14.8 81 3
## 359 31.6 4 120.0 74 2635 18.3 81 3
## 360 28.1 4 141.0 80 3230 20.4 81 2
## 361 30.7 6 145.0 76 3160 19.6 81 2
## 362 25.4 6 168.0 116 2900 12.6 81 3
## 363 24.2 6 146.0 120 2930 13.8 81 3
## 364 22.4 6 231.0 110 3415 15.8 81 1
## 365 26.6 8 350.0 105 3725 19.0 81 1
## 366 20.2 6 200.0 88 3060 17.1 81 1
## 367 17.6 6 225.0 85 3465 16.6 81 1
## 368 28.0 4 112.0 88 2605 19.6 82 1
## 369 27.0 4 112.0 88 2640 18.6 82 1
## 370 34.0 4 112.0 88 2395 18.0 82 1
## 371 31.0 4 112.0 85 2575 16.2 82 1
## 372 29.0 4 135.0 84 2525 16.0 82 1
## 373 27.0 4 151.0 90 2735 18.0 82 1
## 374 24.0 4 140.0 92 2865 16.4 82 1
## 375 36.0 4 105.0 74 1980 15.3 82 2
## 376 37.0 4 91.0 68 2025 18.2 82 3
## 377 31.0 4 91.0 68 1970 17.6 82 3
## 378 38.0 4 105.0 63 2125 14.7 82 1
## 379 36.0 4 98.0 70 2125 17.3 82 1
## 380 36.0 4 120.0 88 2160 14.5 82 3
## 381 36.0 4 107.0 75 2205 14.5 82 3
## 382 34.0 4 108.0 70 2245 16.9 82 3
## 383 38.0 4 91.0 67 1965 15.0 82 3
## 384 32.0 4 91.0 67 1965 15.7 82 3
## 385 38.0 4 91.0 67 1995 16.2 82 3
## 386 25.0 6 181.0 110 2945 16.4 82 1
## 387 38.0 6 262.0 85 3015 17.0 82 1
## 388 26.0 4 156.0 92 2585 14.5 82 1
## 389 22.0 6 232.0 112 2835 14.7 82 1
## 390 32.0 4 144.0 96 2665 13.9 82 3
## 391 36.0 4 135.0 84 2370 13.0 82 1
## 392 27.0 4 151.0 90 2950 17.3 82 1
## 393 27.0 4 140.0 86 2790 15.6 82 1
## 394 44.0 4 97.0 52 2130 24.6 82 2
## 395 32.0 4 135.0 84 2295 11.6 82 1
## 396 28.0 4 120.0 79 2625 18.6 82 1
## 397 31.0 4 119.0 82 2720 19.4 82 1
## name
## 1 chevrolet chevelle malibu
## 2 buick skylark 320
## 3 plymouth satellite
## 4 amc rebel sst
## 5 ford torino
## 6 ford galaxie 500
## 7 chevrolet impala
## 8 plymouth fury iii
## 9 pontiac catalina
## 10 amc ambassador dpl
## 11 dodge challenger se
## 12 plymouth 'cuda 340
## 13 chevrolet monte carlo
## 14 buick estate wagon (sw)
## 15 toyota corona mark ii
## 16 plymouth duster
## 17 amc hornet
## 18 ford maverick
## 19 datsun pl510
## 20 volkswagen 1131 deluxe sedan
## 21 peugeot 504
## 22 audi 100 ls
## 23 saab 99e
## 24 bmw 2002
## 25 amc gremlin
## 26 ford f250
## 27 chevy c20
## 28 dodge d200
## 29 hi 1200d
## 30 datsun pl510
## 31 chevrolet vega 2300
## 32 toyota corona
## 34 amc gremlin
## 35 plymouth satellite custom
## 36 chevrolet chevelle malibu
## 37 ford torino 500
## 38 amc matador
## 39 chevrolet impala
## 40 pontiac catalina brougham
## 41 ford galaxie 500
## 42 plymouth fury iii
## 43 dodge monaco (sw)
## 44 ford country squire (sw)
## 45 pontiac safari (sw)
## 46 amc hornet sportabout (sw)
## 47 chevrolet vega (sw)
## 48 pontiac firebird
## 49 ford mustang
## 50 mercury capri 2000
## 51 opel 1900
## 52 peugeot 304
## 53 fiat 124b
## 54 toyota corolla 1200
## 55 datsun 1200
## 56 volkswagen model 111
## 57 plymouth cricket
## 58 toyota corona hardtop
## 59 dodge colt hardtop
## 60 volkswagen type 3
## 61 chevrolet vega
## 62 ford pinto runabout
## 63 chevrolet impala
## 64 pontiac catalina
## 65 plymouth fury iii
## 66 ford galaxie 500
## 67 amc ambassador sst
## 68 mercury marquis
## 69 buick lesabre custom
## 70 oldsmobile delta 88 royale
## 71 chrysler newport royal
## 72 mazda rx2 coupe
## 73 amc matador (sw)
## 74 chevrolet chevelle concours (sw)
## 75 ford gran torino (sw)
## 76 plymouth satellite custom (sw)
## 77 volvo 145e (sw)
## 78 volkswagen 411 (sw)
## 79 peugeot 504 (sw)
## 80 renault 12 (sw)
## 81 ford pinto (sw)
## 82 datsun 510 (sw)
## 83 toyouta corona mark ii (sw)
## 84 dodge colt (sw)
## 85 toyota corolla 1600 (sw)
## 86 buick century 350
## 87 amc matador
## 88 chevrolet malibu
## 89 ford gran torino
## 90 dodge coronet custom
## 91 mercury marquis brougham
## 92 chevrolet caprice classic
## 93 ford ltd
## 94 plymouth fury gran sedan
## 95 chrysler new yorker brougham
## 96 buick electra 225 custom
## 97 amc ambassador brougham
## 98 plymouth valiant
## 99 chevrolet nova custom
## 100 amc hornet
## 101 ford maverick
## 102 plymouth duster
## 103 volkswagen super beetle
## 104 chevrolet impala
## 105 ford country
## 106 plymouth custom suburb
## 107 oldsmobile vista cruiser
## 108 amc gremlin
## 109 toyota carina
## 110 chevrolet vega
## 111 datsun 610
## 112 maxda rx3
## 113 ford pinto
## 114 mercury capri v6
## 115 fiat 124 sport coupe
## 116 chevrolet monte carlo s
## 117 pontiac grand prix
## 118 fiat 128
## 119 opel manta
## 120 audi 100ls
## 121 volvo 144ea
## 122 dodge dart custom
## 123 saab 99le
## 124 toyota mark ii
## 125 oldsmobile omega
## 126 plymouth duster
## 128 amc hornet
## 129 chevrolet nova
## 130 datsun b210
## 131 ford pinto
## 132 toyota corolla 1200
## 133 chevrolet vega
## 134 chevrolet chevelle malibu classic
## 135 amc matador
## 136 plymouth satellite sebring
## 137 ford gran torino
## 138 buick century luxus (sw)
## 139 dodge coronet custom (sw)
## 140 ford gran torino (sw)
## 141 amc matador (sw)
## 142 audi fox
## 143 volkswagen dasher
## 144 opel manta
## 145 toyota corona
## 146 datsun 710
## 147 dodge colt
## 148 fiat 128
## 149 fiat 124 tc
## 150 honda civic
## 151 subaru
## 152 fiat x1.9
## 153 plymouth valiant custom
## 154 chevrolet nova
## 155 mercury monarch
## 156 ford maverick
## 157 pontiac catalina
## 158 chevrolet bel air
## 159 plymouth grand fury
## 160 ford ltd
## 161 buick century
## 162 chevroelt chevelle malibu
## 163 amc matador
## 164 plymouth fury
## 165 buick skyhawk
## 166 chevrolet monza 2+2
## 167 ford mustang ii
## 168 toyota corolla
## 169 ford pinto
## 170 amc gremlin
## 171 pontiac astro
## 172 toyota corona
## 173 volkswagen dasher
## 174 datsun 710
## 175 ford pinto
## 176 volkswagen rabbit
## 177 amc pacer
## 178 audi 100ls
## 179 peugeot 504
## 180 volvo 244dl
## 181 saab 99le
## 182 honda civic cvcc
## 183 fiat 131
## 184 opel 1900
## 185 capri ii
## 186 dodge colt
## 187 renault 12tl
## 188 chevrolet chevelle malibu classic
## 189 dodge coronet brougham
## 190 amc matador
## 191 ford gran torino
## 192 plymouth valiant
## 193 chevrolet nova
## 194 ford maverick
## 195 amc hornet
## 196 chevrolet chevette
## 197 chevrolet woody
## 198 vw rabbit
## 199 honda civic
## 200 dodge aspen se
## 201 ford granada ghia
## 202 pontiac ventura sj
## 203 amc pacer d/l
## 204 volkswagen rabbit
## 205 datsun b-210
## 206 toyota corolla
## 207 ford pinto
## 208 volvo 245
## 209 plymouth volare premier v8
## 210 peugeot 504
## 211 toyota mark ii
## 212 mercedes-benz 280s
## 213 cadillac seville
## 214 chevy c10
## 215 ford f108
## 216 dodge d100
## 217 honda accord cvcc
## 218 buick opel isuzu deluxe
## 219 renault 5 gtl
## 220 plymouth arrow gs
## 221 datsun f-10 hatchback
## 222 chevrolet caprice classic
## 223 oldsmobile cutlass supreme
## 224 dodge monaco brougham
## 225 mercury cougar brougham
## 226 chevrolet concours
## 227 buick skylark
## 228 plymouth volare custom
## 229 ford granada
## 230 pontiac grand prix lj
## 231 chevrolet monte carlo landau
## 232 chrysler cordoba
## 233 ford thunderbird
## 234 volkswagen rabbit custom
## 235 pontiac sunbird coupe
## 236 toyota corolla liftback
## 237 ford mustang ii 2+2
## 238 chevrolet chevette
## 239 dodge colt m/m
## 240 subaru dl
## 241 volkswagen dasher
## 242 datsun 810
## 243 bmw 320i
## 244 mazda rx-4
## 245 volkswagen rabbit custom diesel
## 246 ford fiesta
## 247 mazda glc deluxe
## 248 datsun b210 gx
## 249 honda civic cvcc
## 250 oldsmobile cutlass salon brougham
## 251 dodge diplomat
## 252 mercury monarch ghia
## 253 pontiac phoenix lj
## 254 chevrolet malibu
## 255 ford fairmont (auto)
## 256 ford fairmont (man)
## 257 plymouth volare
## 258 amc concord
## 259 buick century special
## 260 mercury zephyr
## 261 dodge aspen
## 262 amc concord d/l
## 263 chevrolet monte carlo landau
## 264 buick regal sport coupe (turbo)
## 265 ford futura
## 266 dodge magnum xe
## 267 chevrolet chevette
## 268 toyota corona
## 269 datsun 510
## 270 dodge omni
## 271 toyota celica gt liftback
## 272 plymouth sapporo
## 273 oldsmobile starfire sx
## 274 datsun 200-sx
## 275 audi 5000
## 276 volvo 264gl
## 277 saab 99gle
## 278 peugeot 604sl
## 279 volkswagen scirocco
## 280 honda accord lx
## 281 pontiac lemans v6
## 282 mercury zephyr 6
## 283 ford fairmont 4
## 284 amc concord dl 6
## 285 dodge aspen 6
## 286 chevrolet caprice classic
## 287 ford ltd landau
## 288 mercury grand marquis
## 289 dodge st. regis
## 290 buick estate wagon (sw)
## 291 ford country squire (sw)
## 292 chevrolet malibu classic (sw)
## 293 chrysler lebaron town @ country (sw)
## 294 vw rabbit custom
## 295 maxda glc deluxe
## 296 dodge colt hatchback custom
## 297 amc spirit dl
## 298 mercedes benz 300d
## 299 cadillac eldorado
## 300 peugeot 504
## 301 oldsmobile cutlass salon brougham
## 302 plymouth horizon
## 303 plymouth horizon tc3
## 304 datsun 210
## 305 fiat strada custom
## 306 buick skylark limited
## 307 chevrolet citation
## 308 oldsmobile omega brougham
## 309 pontiac phoenix
## 310 vw rabbit
## 311 toyota corolla tercel
## 312 chevrolet chevette
## 313 datsun 310
## 314 chevrolet citation
## 315 ford fairmont
## 316 amc concord
## 317 dodge aspen
## 318 audi 4000
## 319 toyota corona liftback
## 320 mazda 626
## 321 datsun 510 hatchback
## 322 toyota corolla
## 323 mazda glc
## 324 dodge colt
## 325 datsun 210
## 326 vw rabbit c (diesel)
## 327 vw dasher (diesel)
## 328 audi 5000s (diesel)
## 329 mercedes-benz 240d
## 330 honda civic 1500 gl
## 332 subaru dl
## 333 vokswagen rabbit
## 334 datsun 280-zx
## 335 mazda rx-7 gs
## 336 triumph tr7 coupe
## 338 honda accord
## 339 plymouth reliant
## 340 buick skylark
## 341 dodge aries wagon (sw)
## 342 chevrolet citation
## 343 plymouth reliant
## 344 toyota starlet
## 345 plymouth champ
## 346 honda civic 1300
## 347 subaru
## 348 datsun 210 mpg
## 349 toyota tercel
## 350 mazda glc 4
## 351 plymouth horizon 4
## 352 ford escort 4w
## 353 ford escort 2h
## 354 volkswagen jetta
## 356 honda prelude
## 357 toyota corolla
## 358 datsun 200sx
## 359 mazda 626
## 360 peugeot 505s turbo diesel
## 361 volvo diesel
## 362 toyota cressida
## 363 datsun 810 maxima
## 364 buick century
## 365 oldsmobile cutlass ls
## 366 ford granada gl
## 367 chrysler lebaron salon
## 368 chevrolet cavalier
## 369 chevrolet cavalier wagon
## 370 chevrolet cavalier 2-door
## 371 pontiac j2000 se hatchback
## 372 dodge aries se
## 373 pontiac phoenix
## 374 ford fairmont futura
## 375 volkswagen rabbit l
## 376 mazda glc custom l
## 377 mazda glc custom
## 378 plymouth horizon miser
## 379 mercury lynx l
## 380 nissan stanza xe
## 381 honda accord
## 382 toyota corolla
## 383 honda civic
## 384 honda civic (auto)
## 385 datsun 310 gx
## 386 buick century limited
## 387 oldsmobile cutlass ciera (diesel)
## 388 chrysler lebaron medallion
## 389 ford granada l
## 390 toyota celica gt
## 391 dodge charger 2.2
## 392 chevrolet camaro
## 393 ford mustang gl
## 394 vw pickup
## 395 dodge rampage
## 396 ford ranger
## 397 chevy s-10write.table(Auto, file = "Auto.txt")
read.table(file = "Auto.txt")## mpg cylinders displacement horsepower weight acceleration year origin
## 1 18.0 8 307.0 130 3504 12.0 70 1
## 2 15.0 8 350.0 165 3693 11.5 70 1
## 3 18.0 8 318.0 150 3436 11.0 70 1
## 4 16.0 8 304.0 150 3433 12.0 70 1
## 5 17.0 8 302.0 140 3449 10.5 70 1
## 6 15.0 8 429.0 198 4341 10.0 70 1
## 7 14.0 8 454.0 220 4354 9.0 70 1
## 8 14.0 8 440.0 215 4312 8.5 70 1
## 9 14.0 8 455.0 225 4425 10.0 70 1
## 10 15.0 8 390.0 190 3850 8.5 70 1
## 11 15.0 8 383.0 170 3563 10.0 70 1
## 12 14.0 8 340.0 160 3609 8.0 70 1
## 13 15.0 8 400.0 150 3761 9.5 70 1
## 14 14.0 8 455.0 225 3086 10.0 70 1
## 15 24.0 4 113.0 95 2372 15.0 70 3
## 16 22.0 6 198.0 95 2833 15.5 70 1
## 17 18.0 6 199.0 97 2774 15.5 70 1
## 18 21.0 6 200.0 85 2587 16.0 70 1
## 19 27.0 4 97.0 88 2130 14.5 70 3
## 20 26.0 4 97.0 46 1835 20.5 70 2
## 21 25.0 4 110.0 87 2672 17.5 70 2
## 22 24.0 4 107.0 90 2430 14.5 70 2
## 23 25.0 4 104.0 95 2375 17.5 70 2
## 24 26.0 4 121.0 113 2234 12.5 70 2
## 25 21.0 6 199.0 90 2648 15.0 70 1
## 26 10.0 8 360.0 215 4615 14.0 70 1
## 27 10.0 8 307.0 200 4376 15.0 70 1
## 28 11.0 8 318.0 210 4382 13.5 70 1
## 29 9.0 8 304.0 193 4732 18.5 70 1
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## name
## 1 chevrolet chevelle malibu
## 2 buick skylark 320
## 3 plymouth satellite
## 4 amc rebel sst
## 5 ford torino
## 6 ford galaxie 500
## 7 chevrolet impala
## 8 plymouth fury iii
## 9 pontiac catalina
## 10 amc ambassador dpl
## 11 dodge challenger se
## 12 plymouth 'cuda 340
## 13 chevrolet monte carlo
## 14 buick estate wagon (sw)
## 15 toyota corona mark ii
## 16 plymouth duster
## 17 amc hornet
## 18 ford maverick
## 19 datsun pl510
## 20 volkswagen 1131 deluxe sedan
## 21 peugeot 504
## 22 audi 100 ls
## 23 saab 99e
## 24 bmw 2002
## 25 amc gremlin
## 26 ford f250
## 27 chevy c20
## 28 dodge d200
## 29 hi 1200d
## 30 datsun pl510
## 31 chevrolet vega 2300
## 32 toyota corona
## 34 amc gremlin
## 35 plymouth satellite custom
## 36 chevrolet chevelle malibu
## 37 ford torino 500
## 38 amc matador
## 39 chevrolet impala
## 40 pontiac catalina brougham
## 41 ford galaxie 500
## 42 plymouth fury iii
## 43 dodge monaco (sw)
## 44 ford country squire (sw)
## 45 pontiac safari (sw)
## 46 amc hornet sportabout (sw)
## 47 chevrolet vega (sw)
## 48 pontiac firebird
## 49 ford mustang
## 50 mercury capri 2000
## 51 opel 1900
## 52 peugeot 304
## 53 fiat 124b
## 54 toyota corolla 1200
## 55 datsun 1200
## 56 volkswagen model 111
## 57 plymouth cricket
## 58 toyota corona hardtop
## 59 dodge colt hardtop
## 60 volkswagen type 3
## 61 chevrolet vega
## 62 ford pinto runabout
## 63 chevrolet impala
## 64 pontiac catalina
## 65 plymouth fury iii
## 66 ford galaxie 500
## 67 amc ambassador sst
## 68 mercury marquis
## 69 buick lesabre custom
## 70 oldsmobile delta 88 royale
## 71 chrysler newport royal
## 72 mazda rx2 coupe
## 73 amc matador (sw)
## 74 chevrolet chevelle concours (sw)
## 75 ford gran torino (sw)
## 76 plymouth satellite custom (sw)
## 77 volvo 145e (sw)
## 78 volkswagen 411 (sw)
## 79 peugeot 504 (sw)
## 80 renault 12 (sw)
## 81 ford pinto (sw)
## 82 datsun 510 (sw)
## 83 toyouta corona mark ii (sw)
## 84 dodge colt (sw)
## 85 toyota corolla 1600 (sw)
## 86 buick century 350
## 87 amc matador
## 88 chevrolet malibu
## 89 ford gran torino
## 90 dodge coronet custom
## 91 mercury marquis brougham
## 92 chevrolet caprice classic
## 93 ford ltd
## 94 plymouth fury gran sedan
## 95 chrysler new yorker brougham
## 96 buick electra 225 custom
## 97 amc ambassador brougham
## 98 plymouth valiant
## 99 chevrolet nova custom
## 100 amc hornet
## 101 ford maverick
## 102 plymouth duster
## 103 volkswagen super beetle
## 104 chevrolet impala
## 105 ford country
## 106 plymouth custom suburb
## 107 oldsmobile vista cruiser
## 108 amc gremlin
## 109 toyota carina
## 110 chevrolet vega
## 111 datsun 610
## 112 maxda rx3
## 113 ford pinto
## 114 mercury capri v6
## 115 fiat 124 sport coupe
## 116 chevrolet monte carlo s
## 117 pontiac grand prix
## 118 fiat 128
## 119 opel manta
## 120 audi 100ls
## 121 volvo 144ea
## 122 dodge dart custom
## 123 saab 99le
## 124 toyota mark ii
## 125 oldsmobile omega
## 126 plymouth duster
## 128 amc hornet
## 129 chevrolet nova
## 130 datsun b210
## 131 ford pinto
## 132 toyota corolla 1200
## 133 chevrolet vega
## 134 chevrolet chevelle malibu classic
## 135 amc matador
## 136 plymouth satellite sebring
## 137 ford gran torino
## 138 buick century luxus (sw)
## 139 dodge coronet custom (sw)
## 140 ford gran torino (sw)
## 141 amc matador (sw)
## 142 audi fox
## 143 volkswagen dasher
## 144 opel manta
## 145 toyota corona
## 146 datsun 710
## 147 dodge colt
## 148 fiat 128
## 149 fiat 124 tc
## 150 honda civic
## 151 subaru
## 152 fiat x1.9
## 153 plymouth valiant custom
## 154 chevrolet nova
## 155 mercury monarch
## 156 ford maverick
## 157 pontiac catalina
## 158 chevrolet bel air
## 159 plymouth grand fury
## 160 ford ltd
## 161 buick century
## 162 chevroelt chevelle malibu
## 163 amc matador
## 164 plymouth fury
## 165 buick skyhawk
## 166 chevrolet monza 2+2
## 167 ford mustang ii
## 168 toyota corolla
## 169 ford pinto
## 170 amc gremlin
## 171 pontiac astro
## 172 toyota corona
## 173 volkswagen dasher
## 174 datsun 710
## 175 ford pinto
## 176 volkswagen rabbit
## 177 amc pacer
## 178 audi 100ls
## 179 peugeot 504
## 180 volvo 244dl
## 181 saab 99le
## 182 honda civic cvcc
## 183 fiat 131
## 184 opel 1900
## 185 capri ii
## 186 dodge colt
## 187 renault 12tl
## 188 chevrolet chevelle malibu classic
## 189 dodge coronet brougham
## 190 amc matador
## 191 ford gran torino
## 192 plymouth valiant
## 193 chevrolet nova
## 194 ford maverick
## 195 amc hornet
## 196 chevrolet chevette
## 197 chevrolet woody
## 198 vw rabbit
## 199 honda civic
## 200 dodge aspen se
## 201 ford granada ghia
## 202 pontiac ventura sj
## 203 amc pacer d/l
## 204 volkswagen rabbit
## 205 datsun b-210
## 206 toyota corolla
## 207 ford pinto
## 208 volvo 245
## 209 plymouth volare premier v8
## 210 peugeot 504
## 211 toyota mark ii
## 212 mercedes-benz 280s
## 213 cadillac seville
## 214 chevy c10
## 215 ford f108
## 216 dodge d100
## 217 honda accord cvcc
## 218 buick opel isuzu deluxe
## 219 renault 5 gtl
## 220 plymouth arrow gs
## 221 datsun f-10 hatchback
## 222 chevrolet caprice classic
## 223 oldsmobile cutlass supreme
## 224 dodge monaco brougham
## 225 mercury cougar brougham
## 226 chevrolet concours
## 227 buick skylark
## 228 plymouth volare custom
## 229 ford granada
## 230 pontiac grand prix lj
## 231 chevrolet monte carlo landau
## 232 chrysler cordoba
## 233 ford thunderbird
## 234 volkswagen rabbit custom
## 235 pontiac sunbird coupe
## 236 toyota corolla liftback
## 237 ford mustang ii 2+2
## 238 chevrolet chevette
## 239 dodge colt m/m
## 240 subaru dl
## 241 volkswagen dasher
## 242 datsun 810
## 243 bmw 320i
## 244 mazda rx-4
## 245 volkswagen rabbit custom diesel
## 246 ford fiesta
## 247 mazda glc deluxe
## 248 datsun b210 gx
## 249 honda civic cvcc
## 250 oldsmobile cutlass salon brougham
## 251 dodge diplomat
## 252 mercury monarch ghia
## 253 pontiac phoenix lj
## 254 chevrolet malibu
## 255 ford fairmont (auto)
## 256 ford fairmont (man)
## 257 plymouth volare
## 258 amc concord
## 259 buick century special
## 260 mercury zephyr
## 261 dodge aspen
## 262 amc concord d/l
## 263 chevrolet monte carlo landau
## 264 buick regal sport coupe (turbo)
## 265 ford futura
## 266 dodge magnum xe
## 267 chevrolet chevette
## 268 toyota corona
## 269 datsun 510
## 270 dodge omni
## 271 toyota celica gt liftback
## 272 plymouth sapporo
## 273 oldsmobile starfire sx
## 274 datsun 200-sx
## 275 audi 5000
## 276 volvo 264gl
## 277 saab 99gle
## 278 peugeot 604sl
## 279 volkswagen scirocco
## 280 honda accord lx
## 281 pontiac lemans v6
## 282 mercury zephyr 6
## 283 ford fairmont 4
## 284 amc concord dl 6
## 285 dodge aspen 6
## 286 chevrolet caprice classic
## 287 ford ltd landau
## 288 mercury grand marquis
## 289 dodge st. regis
## 290 buick estate wagon (sw)
## 291 ford country squire (sw)
## 292 chevrolet malibu classic (sw)
## 293 chrysler lebaron town @ country (sw)
## 294 vw rabbit custom
## 295 maxda glc deluxe
## 296 dodge colt hatchback custom
## 297 amc spirit dl
## 298 mercedes benz 300d
## 299 cadillac eldorado
## 300 peugeot 504
## 301 oldsmobile cutlass salon brougham
## 302 plymouth horizon
## 303 plymouth horizon tc3
## 304 datsun 210
## 305 fiat strada custom
## 306 buick skylark limited
## 307 chevrolet citation
## 308 oldsmobile omega brougham
## 309 pontiac phoenix
## 310 vw rabbit
## 311 toyota corolla tercel
## 312 chevrolet chevette
## 313 datsun 310
## 314 chevrolet citation
## 315 ford fairmont
## 316 amc concord
## 317 dodge aspen
## 318 audi 4000
## 319 toyota corona liftback
## 320 mazda 626
## 321 datsun 510 hatchback
## 322 toyota corolla
## 323 mazda glc
## 324 dodge colt
## 325 datsun 210
## 326 vw rabbit c (diesel)
## 327 vw dasher (diesel)
## 328 audi 5000s (diesel)
## 329 mercedes-benz 240d
## 330 honda civic 1500 gl
## 332 subaru dl
## 333 vokswagen rabbit
## 334 datsun 280-zx
## 335 mazda rx-7 gs
## 336 triumph tr7 coupe
## 338 honda accord
## 339 plymouth reliant
## 340 buick skylark
## 341 dodge aries wagon (sw)
## 342 chevrolet citation
## 343 plymouth reliant
## 344 toyota starlet
## 345 plymouth champ
## 346 honda civic 1300
## 347 subaru
## 348 datsun 210 mpg
## 349 toyota tercel
## 350 mazda glc 4
## 351 plymouth horizon 4
## 352 ford escort 4w
## 353 ford escort 2h
## 354 volkswagen jetta
## 356 honda prelude
## 357 toyota corolla
## 358 datsun 200sx
## 359 mazda 626
## 360 peugeot 505s turbo diesel
## 361 volvo diesel
## 362 toyota cressida
## 363 datsun 810 maxima
## 364 buick century
## 365 oldsmobile cutlass ls
## 366 ford granada gl
## 367 chrysler lebaron salon
## 368 chevrolet cavalier
## 369 chevrolet cavalier wagon
## 370 chevrolet cavalier 2-door
## 371 pontiac j2000 se hatchback
## 372 dodge aries se
## 373 pontiac phoenix
## 374 ford fairmont futura
## 375 volkswagen rabbit l
## 376 mazda glc custom l
## 377 mazda glc custom
## 378 plymouth horizon miser
## 379 mercury lynx l
## 380 nissan stanza xe
## 381 honda accord
## 382 toyota corolla
## 383 honda civic
## 384 honda civic (auto)
## 385 datsun 310 gx
## 386 buick century limited
## 387 oldsmobile cutlass ciera (diesel)
## 388 chrysler lebaron medallion
## 389 ford granada l
## 390 toyota celica gt
## 391 dodge charger 2.2
## 392 chevrolet camaro
## 393 ford mustang gl
## 394 vw pickup
## 395 dodge rampage
## 396 ford ranger
## 397 chevy s-10?read.csv
# fix(Auto)
View(Auto)
knitr::kable(Auto)| mpg | cylinders | displacement | horsepower | weight | acceleration | year | origin | name | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 18.0 | 8 | 307.0 | 130 | 3504 | 12.0 | 70 | 1 | chevrolet chevelle malibu |
| 2 | 15.0 | 8 | 350.0 | 165 | 3693 | 11.5 | 70 | 1 | buick skylark 320 |
| 3 | 18.0 | 8 | 318.0 | 150 | 3436 | 11.0 | 70 | 1 | plymouth satellite |
| 4 | 16.0 | 8 | 304.0 | 150 | 3433 | 12.0 | 70 | 1 | amc rebel sst |
| 5 | 17.0 | 8 | 302.0 | 140 | 3449 | 10.5 | 70 | 1 | ford torino |
| 6 | 15.0 | 8 | 429.0 | 198 | 4341 | 10.0 | 70 | 1 | ford galaxie 500 |
| 7 | 14.0 | 8 | 454.0 | 220 | 4354 | 9.0 | 70 | 1 | chevrolet impala |
| 8 | 14.0 | 8 | 440.0 | 215 | 4312 | 8.5 | 70 | 1 | plymouth fury iii |
| 9 | 14.0 | 8 | 455.0 | 225 | 4425 | 10.0 | 70 | 1 | pontiac catalina |
| 10 | 15.0 | 8 | 390.0 | 190 | 3850 | 8.5 | 70 | 1 | amc ambassador dpl |
| 11 | 15.0 | 8 | 383.0 | 170 | 3563 | 10.0 | 70 | 1 | dodge challenger se |
| 12 | 14.0 | 8 | 340.0 | 160 | 3609 | 8.0 | 70 | 1 | plymouth ’cuda 340 |
| 13 | 15.0 | 8 | 400.0 | 150 | 3761 | 9.5 | 70 | 1 | chevrolet monte carlo |
| 14 | 14.0 | 8 | 455.0 | 225 | 3086 | 10.0 | 70 | 1 | buick estate wagon (sw) |
| 15 | 24.0 | 4 | 113.0 | 95 | 2372 | 15.0 | 70 | 3 | toyota corona mark ii |
| 16 | 22.0 | 6 | 198.0 | 95 | 2833 | 15.5 | 70 | 1 | plymouth duster |
| 17 | 18.0 | 6 | 199.0 | 97 | 2774 | 15.5 | 70 | 1 | amc hornet |
| 18 | 21.0 | 6 | 200.0 | 85 | 2587 | 16.0 | 70 | 1 | ford maverick |
| 19 | 27.0 | 4 | 97.0 | 88 | 2130 | 14.5 | 70 | 3 | datsun pl510 |
| 20 | 26.0 | 4 | 97.0 | 46 | 1835 | 20.5 | 70 | 2 | volkswagen 1131 deluxe sedan |
| 21 | 25.0 | 4 | 110.0 | 87 | 2672 | 17.5 | 70 | 2 | peugeot 504 |
| 22 | 24.0 | 4 | 107.0 | 90 | 2430 | 14.5 | 70 | 2 | audi 100 ls |
| 23 | 25.0 | 4 | 104.0 | 95 | 2375 | 17.5 | 70 | 2 | saab 99e |
| 24 | 26.0 | 4 | 121.0 | 113 | 2234 | 12.5 | 70 | 2 | bmw 2002 |
| 25 | 21.0 | 6 | 199.0 | 90 | 2648 | 15.0 | 70 | 1 | amc gremlin |
| 26 | 10.0 | 8 | 360.0 | 215 | 4615 | 14.0 | 70 | 1 | ford f250 |
| 27 | 10.0 | 8 | 307.0 | 200 | 4376 | 15.0 | 70 | 1 | chevy c20 |
| 28 | 11.0 | 8 | 318.0 | 210 | 4382 | 13.5 | 70 | 1 | dodge d200 |
| 29 | 9.0 | 8 | 304.0 | 193 | 4732 | 18.5 | 70 | 1 | hi 1200d |
| 30 | 27.0 | 4 | 97.0 | 88 | 2130 | 14.5 | 71 | 3 | datsun pl510 |
| 31 | 28.0 | 4 | 140.0 | 90 | 2264 | 15.5 | 71 | 1 | chevrolet vega 2300 |
| 32 | 25.0 | 4 | 113.0 | 95 | 2228 | 14.0 | 71 | 3 | toyota corona |
| 34 | 19.0 | 6 | 232.0 | 100 | 2634 | 13.0 | 71 | 1 | amc gremlin |
| 35 | 16.0 | 6 | 225.0 | 105 | 3439 | 15.5 | 71 | 1 | plymouth satellite custom |
| 36 | 17.0 | 6 | 250.0 | 100 | 3329 | 15.5 | 71 | 1 | chevrolet chevelle malibu |
| 37 | 19.0 | 6 | 250.0 | 88 | 3302 | 15.5 | 71 | 1 | ford torino 500 |
| 38 | 18.0 | 6 | 232.0 | 100 | 3288 | 15.5 | 71 | 1 | amc matador |
| 39 | 14.0 | 8 | 350.0 | 165 | 4209 | 12.0 | 71 | 1 | chevrolet impala |
| 40 | 14.0 | 8 | 400.0 | 175 | 4464 | 11.5 | 71 | 1 | pontiac catalina brougham |
| 41 | 14.0 | 8 | 351.0 | 153 | 4154 | 13.5 | 71 | 1 | ford galaxie 500 |
| 42 | 14.0 | 8 | 318.0 | 150 | 4096 | 13.0 | 71 | 1 | plymouth fury iii |
| 43 | 12.0 | 8 | 383.0 | 180 | 4955 | 11.5 | 71 | 1 | dodge monaco (sw) |
| 44 | 13.0 | 8 | 400.0 | 170 | 4746 | 12.0 | 71 | 1 | ford country squire (sw) |
| 45 | 13.0 | 8 | 400.0 | 175 | 5140 | 12.0 | 71 | 1 | pontiac safari (sw) |
| 46 | 18.0 | 6 | 258.0 | 110 | 2962 | 13.5 | 71 | 1 | amc hornet sportabout (sw) |
| 47 | 22.0 | 4 | 140.0 | 72 | 2408 | 19.0 | 71 | 1 | chevrolet vega (sw) |
| 48 | 19.0 | 6 | 250.0 | 100 | 3282 | 15.0 | 71 | 1 | pontiac firebird |
| 49 | 18.0 | 6 | 250.0 | 88 | 3139 | 14.5 | 71 | 1 | ford mustang |
| 50 | 23.0 | 4 | 122.0 | 86 | 2220 | 14.0 | 71 | 1 | mercury capri 2000 |
| 51 | 28.0 | 4 | 116.0 | 90 | 2123 | 14.0 | 71 | 2 | opel 1900 |
| 52 | 30.0 | 4 | 79.0 | 70 | 2074 | 19.5 | 71 | 2 | peugeot 304 |
| 53 | 30.0 | 4 | 88.0 | 76 | 2065 | 14.5 | 71 | 2 | fiat 124b |
| 54 | 31.0 | 4 | 71.0 | 65 | 1773 | 19.0 | 71 | 3 | toyota corolla 1200 |
| 55 | 35.0 | 4 | 72.0 | 69 | 1613 | 18.0 | 71 | 3 | datsun 1200 |
| 56 | 27.0 | 4 | 97.0 | 60 | 1834 | 19.0 | 71 | 2 | volkswagen model 111 |
| 57 | 26.0 | 4 | 91.0 | 70 | 1955 | 20.5 | 71 | 1 | plymouth cricket |
| 58 | 24.0 | 4 | 113.0 | 95 | 2278 | 15.5 | 72 | 3 | toyota corona hardtop |
| 59 | 25.0 | 4 | 97.5 | 80 | 2126 | 17.0 | 72 | 1 | dodge colt hardtop |
| 60 | 23.0 | 4 | 97.0 | 54 | 2254 | 23.5 | 72 | 2 | volkswagen type 3 |
| 61 | 20.0 | 4 | 140.0 | 90 | 2408 | 19.5 | 72 | 1 | chevrolet vega |
| 62 | 21.0 | 4 | 122.0 | 86 | 2226 | 16.5 | 72 | 1 | ford pinto runabout |
| 63 | 13.0 | 8 | 350.0 | 165 | 4274 | 12.0 | 72 | 1 | chevrolet impala |
| 64 | 14.0 | 8 | 400.0 | 175 | 4385 | 12.0 | 72 | 1 | pontiac catalina |
| 65 | 15.0 | 8 | 318.0 | 150 | 4135 | 13.5 | 72 | 1 | plymouth fury iii |
| 66 | 14.0 | 8 | 351.0 | 153 | 4129 | 13.0 | 72 | 1 | ford galaxie 500 |
| 67 | 17.0 | 8 | 304.0 | 150 | 3672 | 11.5 | 72 | 1 | amc ambassador sst |
| 68 | 11.0 | 8 | 429.0 | 208 | 4633 | 11.0 | 72 | 1 | mercury marquis |
| 69 | 13.0 | 8 | 350.0 | 155 | 4502 | 13.5 | 72 | 1 | buick lesabre custom |
| 70 | 12.0 | 8 | 350.0 | 160 | 4456 | 13.5 | 72 | 1 | oldsmobile delta 88 royale |
| 71 | 13.0 | 8 | 400.0 | 190 | 4422 | 12.5 | 72 | 1 | chrysler newport royal |
| 72 | 19.0 | 3 | 70.0 | 97 | 2330 | 13.5 | 72 | 3 | mazda rx2 coupe |
| 73 | 15.0 | 8 | 304.0 | 150 | 3892 | 12.5 | 72 | 1 | amc matador (sw) |
| 74 | 13.0 | 8 | 307.0 | 130 | 4098 | 14.0 | 72 | 1 | chevrolet chevelle concours (sw) |
| 75 | 13.0 | 8 | 302.0 | 140 | 4294 | 16.0 | 72 | 1 | ford gran torino (sw) |
| 76 | 14.0 | 8 | 318.0 | 150 | 4077 | 14.0 | 72 | 1 | plymouth satellite custom (sw) |
| 77 | 18.0 | 4 | 121.0 | 112 | 2933 | 14.5 | 72 | 2 | volvo 145e (sw) |
| 78 | 22.0 | 4 | 121.0 | 76 | 2511 | 18.0 | 72 | 2 | volkswagen 411 (sw) |
| 79 | 21.0 | 4 | 120.0 | 87 | 2979 | 19.5 | 72 | 2 | peugeot 504 (sw) |
| 80 | 26.0 | 4 | 96.0 | 69 | 2189 | 18.0 | 72 | 2 | renault 12 (sw) |
| 81 | 22.0 | 4 | 122.0 | 86 | 2395 | 16.0 | 72 | 1 | ford pinto (sw) |
| 82 | 28.0 | 4 | 97.0 | 92 | 2288 | 17.0 | 72 | 3 | datsun 510 (sw) |
| 83 | 23.0 | 4 | 120.0 | 97 | 2506 | 14.5 | 72 | 3 | toyouta corona mark ii (sw) |
| 84 | 28.0 | 4 | 98.0 | 80 | 2164 | 15.0 | 72 | 1 | dodge colt (sw) |
| 85 | 27.0 | 4 | 97.0 | 88 | 2100 | 16.5 | 72 | 3 | toyota corolla 1600 (sw) |
| 86 | 13.0 | 8 | 350.0 | 175 | 4100 | 13.0 | 73 | 1 | buick century 350 |
| 87 | 14.0 | 8 | 304.0 | 150 | 3672 | 11.5 | 73 | 1 | amc matador |
| 88 | 13.0 | 8 | 350.0 | 145 | 3988 | 13.0 | 73 | 1 | chevrolet malibu |
| 89 | 14.0 | 8 | 302.0 | 137 | 4042 | 14.5 | 73 | 1 | ford gran torino |
| 90 | 15.0 | 8 | 318.0 | 150 | 3777 | 12.5 | 73 | 1 | dodge coronet custom |
| 91 | 12.0 | 8 | 429.0 | 198 | 4952 | 11.5 | 73 | 1 | mercury marquis brougham |
| 92 | 13.0 | 8 | 400.0 | 150 | 4464 | 12.0 | 73 | 1 | chevrolet caprice classic |
| 93 | 13.0 | 8 | 351.0 | 158 | 4363 | 13.0 | 73 | 1 | ford ltd |
| 94 | 14.0 | 8 | 318.0 | 150 | 4237 | 14.5 | 73 | 1 | plymouth fury gran sedan |
| 95 | 13.0 | 8 | 440.0 | 215 | 4735 | 11.0 | 73 | 1 | chrysler new yorker brougham |
| 96 | 12.0 | 8 | 455.0 | 225 | 4951 | 11.0 | 73 | 1 | buick electra 225 custom |
| 97 | 13.0 | 8 | 360.0 | 175 | 3821 | 11.0 | 73 | 1 | amc ambassador brougham |
| 98 | 18.0 | 6 | 225.0 | 105 | 3121 | 16.5 | 73 | 1 | plymouth valiant |
| 99 | 16.0 | 6 | 250.0 | 100 | 3278 | 18.0 | 73 | 1 | chevrolet nova custom |
| 100 | 18.0 | 6 | 232.0 | 100 | 2945 | 16.0 | 73 | 1 | amc hornet |
| 101 | 18.0 | 6 | 250.0 | 88 | 3021 | 16.5 | 73 | 1 | ford maverick |
| 102 | 23.0 | 6 | 198.0 | 95 | 2904 | 16.0 | 73 | 1 | plymouth duster |
| 103 | 26.0 | 4 | 97.0 | 46 | 1950 | 21.0 | 73 | 2 | volkswagen super beetle |
| 104 | 11.0 | 8 | 400.0 | 150 | 4997 | 14.0 | 73 | 1 | chevrolet impala |
| 105 | 12.0 | 8 | 400.0 | 167 | 4906 | 12.5 | 73 | 1 | ford country |
| 106 | 13.0 | 8 | 360.0 | 170 | 4654 | 13.0 | 73 | 1 | plymouth custom suburb |
| 107 | 12.0 | 8 | 350.0 | 180 | 4499 | 12.5 | 73 | 1 | oldsmobile vista cruiser |
| 108 | 18.0 | 6 | 232.0 | 100 | 2789 | 15.0 | 73 | 1 | amc gremlin |
| 109 | 20.0 | 4 | 97.0 | 88 | 2279 | 19.0 | 73 | 3 | toyota carina |
| 110 | 21.0 | 4 | 140.0 | 72 | 2401 | 19.5 | 73 | 1 | chevrolet vega |
| 111 | 22.0 | 4 | 108.0 | 94 | 2379 | 16.5 | 73 | 3 | datsun 610 |
| 112 | 18.0 | 3 | 70.0 | 90 | 2124 | 13.5 | 73 | 3 | maxda rx3 |
| 113 | 19.0 | 4 | 122.0 | 85 | 2310 | 18.5 | 73 | 1 | ford pinto |
| 114 | 21.0 | 6 | 155.0 | 107 | 2472 | 14.0 | 73 | 1 | mercury capri v6 |
| 115 | 26.0 | 4 | 98.0 | 90 | 2265 | 15.5 | 73 | 2 | fiat 124 sport coupe |
| 116 | 15.0 | 8 | 350.0 | 145 | 4082 | 13.0 | 73 | 1 | chevrolet monte carlo s |
| 117 | 16.0 | 8 | 400.0 | 230 | 4278 | 9.5 | 73 | 1 | pontiac grand prix |
| 118 | 29.0 | 4 | 68.0 | 49 | 1867 | 19.5 | 73 | 2 | fiat 128 |
| 119 | 24.0 | 4 | 116.0 | 75 | 2158 | 15.5 | 73 | 2 | opel manta |
| 120 | 20.0 | 4 | 114.0 | 91 | 2582 | 14.0 | 73 | 2 | audi 100ls |
| 121 | 19.0 | 4 | 121.0 | 112 | 2868 | 15.5 | 73 | 2 | volvo 144ea |
| 122 | 15.0 | 8 | 318.0 | 150 | 3399 | 11.0 | 73 | 1 | dodge dart custom |
| 123 | 24.0 | 4 | 121.0 | 110 | 2660 | 14.0 | 73 | 2 | saab 99le |
| 124 | 20.0 | 6 | 156.0 | 122 | 2807 | 13.5 | 73 | 3 | toyota mark ii |
| 125 | 11.0 | 8 | 350.0 | 180 | 3664 | 11.0 | 73 | 1 | oldsmobile omega |
| 126 | 20.0 | 6 | 198.0 | 95 | 3102 | 16.5 | 74 | 1 | plymouth duster |
| 128 | 19.0 | 6 | 232.0 | 100 | 2901 | 16.0 | 74 | 1 | amc hornet |
| 129 | 15.0 | 6 | 250.0 | 100 | 3336 | 17.0 | 74 | 1 | chevrolet nova |
| 130 | 31.0 | 4 | 79.0 | 67 | 1950 | 19.0 | 74 | 3 | datsun b210 |
| 131 | 26.0 | 4 | 122.0 | 80 | 2451 | 16.5 | 74 | 1 | ford pinto |
| 132 | 32.0 | 4 | 71.0 | 65 | 1836 | 21.0 | 74 | 3 | toyota corolla 1200 |
| 133 | 25.0 | 4 | 140.0 | 75 | 2542 | 17.0 | 74 | 1 | chevrolet vega |
| 134 | 16.0 | 6 | 250.0 | 100 | 3781 | 17.0 | 74 | 1 | chevrolet chevelle malibu classic |
| 135 | 16.0 | 6 | 258.0 | 110 | 3632 | 18.0 | 74 | 1 | amc matador |
| 136 | 18.0 | 6 | 225.0 | 105 | 3613 | 16.5 | 74 | 1 | plymouth satellite sebring |
| 137 | 16.0 | 8 | 302.0 | 140 | 4141 | 14.0 | 74 | 1 | ford gran torino |
| 138 | 13.0 | 8 | 350.0 | 150 | 4699 | 14.5 | 74 | 1 | buick century luxus (sw) |
| 139 | 14.0 | 8 | 318.0 | 150 | 4457 | 13.5 | 74 | 1 | dodge coronet custom (sw) |
| 140 | 14.0 | 8 | 302.0 | 140 | 4638 | 16.0 | 74 | 1 | ford gran torino (sw) |
| 141 | 14.0 | 8 | 304.0 | 150 | 4257 | 15.5 | 74 | 1 | amc matador (sw) |
| 142 | 29.0 | 4 | 98.0 | 83 | 2219 | 16.5 | 74 | 2 | audi fox |
| 143 | 26.0 | 4 | 79.0 | 67 | 1963 | 15.5 | 74 | 2 | volkswagen dasher |
| 144 | 26.0 | 4 | 97.0 | 78 | 2300 | 14.5 | 74 | 2 | opel manta |
| 145 | 31.0 | 4 | 76.0 | 52 | 1649 | 16.5 | 74 | 3 | toyota corona |
| 146 | 32.0 | 4 | 83.0 | 61 | 2003 | 19.0 | 74 | 3 | datsun 710 |
| 147 | 28.0 | 4 | 90.0 | 75 | 2125 | 14.5 | 74 | 1 | dodge colt |
| 148 | 24.0 | 4 | 90.0 | 75 | 2108 | 15.5 | 74 | 2 | fiat 128 |
| 149 | 26.0 | 4 | 116.0 | 75 | 2246 | 14.0 | 74 | 2 | fiat 124 tc |
| 150 | 24.0 | 4 | 120.0 | 97 | 2489 | 15.0 | 74 | 3 | honda civic |
| 151 | 26.0 | 4 | 108.0 | 93 | 2391 | 15.5 | 74 | 3 | subaru |
| 152 | 31.0 | 4 | 79.0 | 67 | 2000 | 16.0 | 74 | 2 | fiat x1.9 |
| 153 | 19.0 | 6 | 225.0 | 95 | 3264 | 16.0 | 75 | 1 | plymouth valiant custom |
| 154 | 18.0 | 6 | 250.0 | 105 | 3459 | 16.0 | 75 | 1 | chevrolet nova |
| 155 | 15.0 | 6 | 250.0 | 72 | 3432 | 21.0 | 75 | 1 | mercury monarch |
| 156 | 15.0 | 6 | 250.0 | 72 | 3158 | 19.5 | 75 | 1 | ford maverick |
| 157 | 16.0 | 8 | 400.0 | 170 | 4668 | 11.5 | 75 | 1 | pontiac catalina |
| 158 | 15.0 | 8 | 350.0 | 145 | 4440 | 14.0 | 75 | 1 | chevrolet bel air |
| 159 | 16.0 | 8 | 318.0 | 150 | 4498 | 14.5 | 75 | 1 | plymouth grand fury |
| 160 | 14.0 | 8 | 351.0 | 148 | 4657 | 13.5 | 75 | 1 | ford ltd |
| 161 | 17.0 | 6 | 231.0 | 110 | 3907 | 21.0 | 75 | 1 | buick century |
| 162 | 16.0 | 6 | 250.0 | 105 | 3897 | 18.5 | 75 | 1 | chevroelt chevelle malibu |
| 163 | 15.0 | 6 | 258.0 | 110 | 3730 | 19.0 | 75 | 1 | amc matador |
| 164 | 18.0 | 6 | 225.0 | 95 | 3785 | 19.0 | 75 | 1 | plymouth fury |
| 165 | 21.0 | 6 | 231.0 | 110 | 3039 | 15.0 | 75 | 1 | buick skyhawk |
| 166 | 20.0 | 8 | 262.0 | 110 | 3221 | 13.5 | 75 | 1 | chevrolet monza 2+2 |
| 167 | 13.0 | 8 | 302.0 | 129 | 3169 | 12.0 | 75 | 1 | ford mustang ii |
| 168 | 29.0 | 4 | 97.0 | 75 | 2171 | 16.0 | 75 | 3 | toyota corolla |
| 169 | 23.0 | 4 | 140.0 | 83 | 2639 | 17.0 | 75 | 1 | ford pinto |
| 170 | 20.0 | 6 | 232.0 | 100 | 2914 | 16.0 | 75 | 1 | amc gremlin |
| 171 | 23.0 | 4 | 140.0 | 78 | 2592 | 18.5 | 75 | 1 | pontiac astro |
| 172 | 24.0 | 4 | 134.0 | 96 | 2702 | 13.5 | 75 | 3 | toyota corona |
| 173 | 25.0 | 4 | 90.0 | 71 | 2223 | 16.5 | 75 | 2 | volkswagen dasher |
| 174 | 24.0 | 4 | 119.0 | 97 | 2545 | 17.0 | 75 | 3 | datsun 710 |
| 175 | 18.0 | 6 | 171.0 | 97 | 2984 | 14.5 | 75 | 1 | ford pinto |
| 176 | 29.0 | 4 | 90.0 | 70 | 1937 | 14.0 | 75 | 2 | volkswagen rabbit |
| 177 | 19.0 | 6 | 232.0 | 90 | 3211 | 17.0 | 75 | 1 | amc pacer |
| 178 | 23.0 | 4 | 115.0 | 95 | 2694 | 15.0 | 75 | 2 | audi 100ls |
| 179 | 23.0 | 4 | 120.0 | 88 | 2957 | 17.0 | 75 | 2 | peugeot 504 |
| 180 | 22.0 | 4 | 121.0 | 98 | 2945 | 14.5 | 75 | 2 | volvo 244dl |
| 181 | 25.0 | 4 | 121.0 | 115 | 2671 | 13.5 | 75 | 2 | saab 99le |
| 182 | 33.0 | 4 | 91.0 | 53 | 1795 | 17.5 | 75 | 3 | honda civic cvcc |
| 183 | 28.0 | 4 | 107.0 | 86 | 2464 | 15.5 | 76 | 2 | fiat 131 |
| 184 | 25.0 | 4 | 116.0 | 81 | 2220 | 16.9 | 76 | 2 | opel 1900 |
| 185 | 25.0 | 4 | 140.0 | 92 | 2572 | 14.9 | 76 | 1 | capri ii |
| 186 | 26.0 | 4 | 98.0 | 79 | 2255 | 17.7 | 76 | 1 | dodge colt |
| 187 | 27.0 | 4 | 101.0 | 83 | 2202 | 15.3 | 76 | 2 | renault 12tl |
| 188 | 17.5 | 8 | 305.0 | 140 | 4215 | 13.0 | 76 | 1 | chevrolet chevelle malibu classic |
| 189 | 16.0 | 8 | 318.0 | 150 | 4190 | 13.0 | 76 | 1 | dodge coronet brougham |
| 190 | 15.5 | 8 | 304.0 | 120 | 3962 | 13.9 | 76 | 1 | amc matador |
| 191 | 14.5 | 8 | 351.0 | 152 | 4215 | 12.8 | 76 | 1 | ford gran torino |
| 192 | 22.0 | 6 | 225.0 | 100 | 3233 | 15.4 | 76 | 1 | plymouth valiant |
| 193 | 22.0 | 6 | 250.0 | 105 | 3353 | 14.5 | 76 | 1 | chevrolet nova |
| 194 | 24.0 | 6 | 200.0 | 81 | 3012 | 17.6 | 76 | 1 | ford maverick |
| 195 | 22.5 | 6 | 232.0 | 90 | 3085 | 17.6 | 76 | 1 | amc hornet |
| 196 | 29.0 | 4 | 85.0 | 52 | 2035 | 22.2 | 76 | 1 | chevrolet chevette |
| 197 | 24.5 | 4 | 98.0 | 60 | 2164 | 22.1 | 76 | 1 | chevrolet woody |
| 198 | 29.0 | 4 | 90.0 | 70 | 1937 | 14.2 | 76 | 2 | vw rabbit |
| 199 | 33.0 | 4 | 91.0 | 53 | 1795 | 17.4 | 76 | 3 | honda civic |
| 200 | 20.0 | 6 | 225.0 | 100 | 3651 | 17.7 | 76 | 1 | dodge aspen se |
| 201 | 18.0 | 6 | 250.0 | 78 | 3574 | 21.0 | 76 | 1 | ford granada ghia |
| 202 | 18.5 | 6 | 250.0 | 110 | 3645 | 16.2 | 76 | 1 | pontiac ventura sj |
| 203 | 17.5 | 6 | 258.0 | 95 | 3193 | 17.8 | 76 | 1 | amc pacer d/l |
| 204 | 29.5 | 4 | 97.0 | 71 | 1825 | 12.2 | 76 | 2 | volkswagen rabbit |
| 205 | 32.0 | 4 | 85.0 | 70 | 1990 | 17.0 | 76 | 3 | datsun b-210 |
| 206 | 28.0 | 4 | 97.0 | 75 | 2155 | 16.4 | 76 | 3 | toyota corolla |
| 207 | 26.5 | 4 | 140.0 | 72 | 2565 | 13.6 | 76 | 1 | ford pinto |
| 208 | 20.0 | 4 | 130.0 | 102 | 3150 | 15.7 | 76 | 2 | volvo 245 |
| 209 | 13.0 | 8 | 318.0 | 150 | 3940 | 13.2 | 76 | 1 | plymouth volare premier v8 |
| 210 | 19.0 | 4 | 120.0 | 88 | 3270 | 21.9 | 76 | 2 | peugeot 504 |
| 211 | 19.0 | 6 | 156.0 | 108 | 2930 | 15.5 | 76 | 3 | toyota mark ii |
| 212 | 16.5 | 6 | 168.0 | 120 | 3820 | 16.7 | 76 | 2 | mercedes-benz 280s |
| 213 | 16.5 | 8 | 350.0 | 180 | 4380 | 12.1 | 76 | 1 | cadillac seville |
| 214 | 13.0 | 8 | 350.0 | 145 | 4055 | 12.0 | 76 | 1 | chevy c10 |
| 215 | 13.0 | 8 | 302.0 | 130 | 3870 | 15.0 | 76 | 1 | ford f108 |
| 216 | 13.0 | 8 | 318.0 | 150 | 3755 | 14.0 | 76 | 1 | dodge d100 |
| 217 | 31.5 | 4 | 98.0 | 68 | 2045 | 18.5 | 77 | 3 | honda accord cvcc |
| 218 | 30.0 | 4 | 111.0 | 80 | 2155 | 14.8 | 77 | 1 | buick opel isuzu deluxe |
| 219 | 36.0 | 4 | 79.0 | 58 | 1825 | 18.6 | 77 | 2 | renault 5 gtl |
| 220 | 25.5 | 4 | 122.0 | 96 | 2300 | 15.5 | 77 | 1 | plymouth arrow gs |
| 221 | 33.5 | 4 | 85.0 | 70 | 1945 | 16.8 | 77 | 3 | datsun f-10 hatchback |
| 222 | 17.5 | 8 | 305.0 | 145 | 3880 | 12.5 | 77 | 1 | chevrolet caprice classic |
| 223 | 17.0 | 8 | 260.0 | 110 | 4060 | 19.0 | 77 | 1 | oldsmobile cutlass supreme |
| 224 | 15.5 | 8 | 318.0 | 145 | 4140 | 13.7 | 77 | 1 | dodge monaco brougham |
| 225 | 15.0 | 8 | 302.0 | 130 | 4295 | 14.9 | 77 | 1 | mercury cougar brougham |
| 226 | 17.5 | 6 | 250.0 | 110 | 3520 | 16.4 | 77 | 1 | chevrolet concours |
| 227 | 20.5 | 6 | 231.0 | 105 | 3425 | 16.9 | 77 | 1 | buick skylark |
| 228 | 19.0 | 6 | 225.0 | 100 | 3630 | 17.7 | 77 | 1 | plymouth volare custom |
| 229 | 18.5 | 6 | 250.0 | 98 | 3525 | 19.0 | 77 | 1 | ford granada |
| 230 | 16.0 | 8 | 400.0 | 180 | 4220 | 11.1 | 77 | 1 | pontiac grand prix lj |
| 231 | 15.5 | 8 | 350.0 | 170 | 4165 | 11.4 | 77 | 1 | chevrolet monte carlo landau |
| 232 | 15.5 | 8 | 400.0 | 190 | 4325 | 12.2 | 77 | 1 | chrysler cordoba |
| 233 | 16.0 | 8 | 351.0 | 149 | 4335 | 14.5 | 77 | 1 | ford thunderbird |
| 234 | 29.0 | 4 | 97.0 | 78 | 1940 | 14.5 | 77 | 2 | volkswagen rabbit custom |
| 235 | 24.5 | 4 | 151.0 | 88 | 2740 | 16.0 | 77 | 1 | pontiac sunbird coupe |
| 236 | 26.0 | 4 | 97.0 | 75 | 2265 | 18.2 | 77 | 3 | toyota corolla liftback |
| 237 | 25.5 | 4 | 140.0 | 89 | 2755 | 15.8 | 77 | 1 | ford mustang ii 2+2 |
| 238 | 30.5 | 4 | 98.0 | 63 | 2051 | 17.0 | 77 | 1 | chevrolet chevette |
| 239 | 33.5 | 4 | 98.0 | 83 | 2075 | 15.9 | 77 | 1 | dodge colt m/m |
| 240 | 30.0 | 4 | 97.0 | 67 | 1985 | 16.4 | 77 | 3 | subaru dl |
| 241 | 30.5 | 4 | 97.0 | 78 | 2190 | 14.1 | 77 | 2 | volkswagen dasher |
| 242 | 22.0 | 6 | 146.0 | 97 | 2815 | 14.5 | 77 | 3 | datsun 810 |
| 243 | 21.5 | 4 | 121.0 | 110 | 2600 | 12.8 | 77 | 2 | bmw 320i |
| 244 | 21.5 | 3 | 80.0 | 110 | 2720 | 13.5 | 77 | 3 | mazda rx-4 |
| 245 | 43.1 | 4 | 90.0 | 48 | 1985 | 21.5 | 78 | 2 | volkswagen rabbit custom diesel |
| 246 | 36.1 | 4 | 98.0 | 66 | 1800 | 14.4 | 78 | 1 | ford fiesta |
| 247 | 32.8 | 4 | 78.0 | 52 | 1985 | 19.4 | 78 | 3 | mazda glc deluxe |
| 248 | 39.4 | 4 | 85.0 | 70 | 2070 | 18.6 | 78 | 3 | datsun b210 gx |
| 249 | 36.1 | 4 | 91.0 | 60 | 1800 | 16.4 | 78 | 3 | honda civic cvcc |
| 250 | 19.9 | 8 | 260.0 | 110 | 3365 | 15.5 | 78 | 1 | oldsmobile cutlass salon brougham |
| 251 | 19.4 | 8 | 318.0 | 140 | 3735 | 13.2 | 78 | 1 | dodge diplomat |
| 252 | 20.2 | 8 | 302.0 | 139 | 3570 | 12.8 | 78 | 1 | mercury monarch ghia |
| 253 | 19.2 | 6 | 231.0 | 105 | 3535 | 19.2 | 78 | 1 | pontiac phoenix lj |
| 254 | 20.5 | 6 | 200.0 | 95 | 3155 | 18.2 | 78 | 1 | chevrolet malibu |
| 255 | 20.2 | 6 | 200.0 | 85 | 2965 | 15.8 | 78 | 1 | ford fairmont (auto) |
| 256 | 25.1 | 4 | 140.0 | 88 | 2720 | 15.4 | 78 | 1 | ford fairmont (man) |
| 257 | 20.5 | 6 | 225.0 | 100 | 3430 | 17.2 | 78 | 1 | plymouth volare |
| 258 | 19.4 | 6 | 232.0 | 90 | 3210 | 17.2 | 78 | 1 | amc concord |
| 259 | 20.6 | 6 | 231.0 | 105 | 3380 | 15.8 | 78 | 1 | buick century special |
| 260 | 20.8 | 6 | 200.0 | 85 | 3070 | 16.7 | 78 | 1 | mercury zephyr |
| 261 | 18.6 | 6 | 225.0 | 110 | 3620 | 18.7 | 78 | 1 | dodge aspen |
| 262 | 18.1 | 6 | 258.0 | 120 | 3410 | 15.1 | 78 | 1 | amc concord d/l |
| 263 | 19.2 | 8 | 305.0 | 145 | 3425 | 13.2 | 78 | 1 | chevrolet monte carlo landau |
| 264 | 17.7 | 6 | 231.0 | 165 | 3445 | 13.4 | 78 | 1 | buick regal sport coupe (turbo) |
| 265 | 18.1 | 8 | 302.0 | 139 | 3205 | 11.2 | 78 | 1 | ford futura |
| 266 | 17.5 | 8 | 318.0 | 140 | 4080 | 13.7 | 78 | 1 | dodge magnum xe |
| 267 | 30.0 | 4 | 98.0 | 68 | 2155 | 16.5 | 78 | 1 | chevrolet chevette |
| 268 | 27.5 | 4 | 134.0 | 95 | 2560 | 14.2 | 78 | 3 | toyota corona |
| 269 | 27.2 | 4 | 119.0 | 97 | 2300 | 14.7 | 78 | 3 | datsun 510 |
| 270 | 30.9 | 4 | 105.0 | 75 | 2230 | 14.5 | 78 | 1 | dodge omni |
| 271 | 21.1 | 4 | 134.0 | 95 | 2515 | 14.8 | 78 | 3 | toyota celica gt liftback |
| 272 | 23.2 | 4 | 156.0 | 105 | 2745 | 16.7 | 78 | 1 | plymouth sapporo |
| 273 | 23.8 | 4 | 151.0 | 85 | 2855 | 17.6 | 78 | 1 | oldsmobile starfire sx |
| 274 | 23.9 | 4 | 119.0 | 97 | 2405 | 14.9 | 78 | 3 | datsun 200-sx |
| 275 | 20.3 | 5 | 131.0 | 103 | 2830 | 15.9 | 78 | 2 | audi 5000 |
| 276 | 17.0 | 6 | 163.0 | 125 | 3140 | 13.6 | 78 | 2 | volvo 264gl |
| 277 | 21.6 | 4 | 121.0 | 115 | 2795 | 15.7 | 78 | 2 | saab 99gle |
| 278 | 16.2 | 6 | 163.0 | 133 | 3410 | 15.8 | 78 | 2 | peugeot 604sl |
| 279 | 31.5 | 4 | 89.0 | 71 | 1990 | 14.9 | 78 | 2 | volkswagen scirocco |
| 280 | 29.5 | 4 | 98.0 | 68 | 2135 | 16.6 | 78 | 3 | honda accord lx |
| 281 | 21.5 | 6 | 231.0 | 115 | 3245 | 15.4 | 79 | 1 | pontiac lemans v6 |
| 282 | 19.8 | 6 | 200.0 | 85 | 2990 | 18.2 | 79 | 1 | mercury zephyr 6 |
| 283 | 22.3 | 4 | 140.0 | 88 | 2890 | 17.3 | 79 | 1 | ford fairmont 4 |
| 284 | 20.2 | 6 | 232.0 | 90 | 3265 | 18.2 | 79 | 1 | amc concord dl 6 |
| 285 | 20.6 | 6 | 225.0 | 110 | 3360 | 16.6 | 79 | 1 | dodge aspen 6 |
| 286 | 17.0 | 8 | 305.0 | 130 | 3840 | 15.4 | 79 | 1 | chevrolet caprice classic |
| 287 | 17.6 | 8 | 302.0 | 129 | 3725 | 13.4 | 79 | 1 | ford ltd landau |
| 288 | 16.5 | 8 | 351.0 | 138 | 3955 | 13.2 | 79 | 1 | mercury grand marquis |
| 289 | 18.2 | 8 | 318.0 | 135 | 3830 | 15.2 | 79 | 1 | dodge st. regis |
| 290 | 16.9 | 8 | 350.0 | 155 | 4360 | 14.9 | 79 | 1 | buick estate wagon (sw) |
| 291 | 15.5 | 8 | 351.0 | 142 | 4054 | 14.3 | 79 | 1 | ford country squire (sw) |
| 292 | 19.2 | 8 | 267.0 | 125 | 3605 | 15.0 | 79 | 1 | chevrolet malibu classic (sw) |
| 293 | 18.5 | 8 | 360.0 | 150 | 3940 | 13.0 | 79 | 1 | chrysler lebaron town @ country (sw) |
| 294 | 31.9 | 4 | 89.0 | 71 | 1925 | 14.0 | 79 | 2 | vw rabbit custom |
| 295 | 34.1 | 4 | 86.0 | 65 | 1975 | 15.2 | 79 | 3 | maxda glc deluxe |
| 296 | 35.7 | 4 | 98.0 | 80 | 1915 | 14.4 | 79 | 1 | dodge colt hatchback custom |
| 297 | 27.4 | 4 | 121.0 | 80 | 2670 | 15.0 | 79 | 1 | amc spirit dl |
| 298 | 25.4 | 5 | 183.0 | 77 | 3530 | 20.1 | 79 | 2 | mercedes benz 300d |
| 299 | 23.0 | 8 | 350.0 | 125 | 3900 | 17.4 | 79 | 1 | cadillac eldorado |
| 300 | 27.2 | 4 | 141.0 | 71 | 3190 | 24.8 | 79 | 2 | peugeot 504 |
| 301 | 23.9 | 8 | 260.0 | 90 | 3420 | 22.2 | 79 | 1 | oldsmobile cutlass salon brougham |
| 302 | 34.2 | 4 | 105.0 | 70 | 2200 | 13.2 | 79 | 1 | plymouth horizon |
| 303 | 34.5 | 4 | 105.0 | 70 | 2150 | 14.9 | 79 | 1 | plymouth horizon tc3 |
| 304 | 31.8 | 4 | 85.0 | 65 | 2020 | 19.2 | 79 | 3 | datsun 210 |
| 305 | 37.3 | 4 | 91.0 | 69 | 2130 | 14.7 | 79 | 2 | fiat strada custom |
| 306 | 28.4 | 4 | 151.0 | 90 | 2670 | 16.0 | 79 | 1 | buick skylark limited |
| 307 | 28.8 | 6 | 173.0 | 115 | 2595 | 11.3 | 79 | 1 | chevrolet citation |
| 308 | 26.8 | 6 | 173.0 | 115 | 2700 | 12.9 | 79 | 1 | oldsmobile omega brougham |
| 309 | 33.5 | 4 | 151.0 | 90 | 2556 | 13.2 | 79 | 1 | pontiac phoenix |
| 310 | 41.5 | 4 | 98.0 | 76 | 2144 | 14.7 | 80 | 2 | vw rabbit |
| 311 | 38.1 | 4 | 89.0 | 60 | 1968 | 18.8 | 80 | 3 | toyota corolla tercel |
| 312 | 32.1 | 4 | 98.0 | 70 | 2120 | 15.5 | 80 | 1 | chevrolet chevette |
| 313 | 37.2 | 4 | 86.0 | 65 | 2019 | 16.4 | 80 | 3 | datsun 310 |
| 314 | 28.0 | 4 | 151.0 | 90 | 2678 | 16.5 | 80 | 1 | chevrolet citation |
| 315 | 26.4 | 4 | 140.0 | 88 | 2870 | 18.1 | 80 | 1 | ford fairmont |
| 316 | 24.3 | 4 | 151.0 | 90 | 3003 | 20.1 | 80 | 1 | amc concord |
| 317 | 19.1 | 6 | 225.0 | 90 | 3381 | 18.7 | 80 | 1 | dodge aspen |
| 318 | 34.3 | 4 | 97.0 | 78 | 2188 | 15.8 | 80 | 2 | audi 4000 |
| 319 | 29.8 | 4 | 134.0 | 90 | 2711 | 15.5 | 80 | 3 | toyota corona liftback |
| 320 | 31.3 | 4 | 120.0 | 75 | 2542 | 17.5 | 80 | 3 | mazda 626 |
| 321 | 37.0 | 4 | 119.0 | 92 | 2434 | 15.0 | 80 | 3 | datsun 510 hatchback |
| 322 | 32.2 | 4 | 108.0 | 75 | 2265 | 15.2 | 80 | 3 | toyota corolla |
| 323 | 46.6 | 4 | 86.0 | 65 | 2110 | 17.9 | 80 | 3 | mazda glc |
| 324 | 27.9 | 4 | 156.0 | 105 | 2800 | 14.4 | 80 | 1 | dodge colt |
| 325 | 40.8 | 4 | 85.0 | 65 | 2110 | 19.2 | 80 | 3 | datsun 210 |
| 326 | 44.3 | 4 | 90.0 | 48 | 2085 | 21.7 | 80 | 2 | vw rabbit c (diesel) |
| 327 | 43.4 | 4 | 90.0 | 48 | 2335 | 23.7 | 80 | 2 | vw dasher (diesel) |
| 328 | 36.4 | 5 | 121.0 | 67 | 2950 | 19.9 | 80 | 2 | audi 5000s (diesel) |
| 329 | 30.0 | 4 | 146.0 | 67 | 3250 | 21.8 | 80 | 2 | mercedes-benz 240d |
| 330 | 44.6 | 4 | 91.0 | 67 | 1850 | 13.8 | 80 | 3 | honda civic 1500 gl |
| 332 | 33.8 | 4 | 97.0 | 67 | 2145 | 18.0 | 80 | 3 | subaru dl |
| 333 | 29.8 | 4 | 89.0 | 62 | 1845 | 15.3 | 80 | 2 | vokswagen rabbit |
| 334 | 32.7 | 6 | 168.0 | 132 | 2910 | 11.4 | 80 | 3 | datsun 280-zx |
| 335 | 23.7 | 3 | 70.0 | 100 | 2420 | 12.5 | 80 | 3 | mazda rx-7 gs |
| 336 | 35.0 | 4 | 122.0 | 88 | 2500 | 15.1 | 80 | 2 | triumph tr7 coupe |
| 338 | 32.4 | 4 | 107.0 | 72 | 2290 | 17.0 | 80 | 3 | honda accord |
| 339 | 27.2 | 4 | 135.0 | 84 | 2490 | 15.7 | 81 | 1 | plymouth reliant |
| 340 | 26.6 | 4 | 151.0 | 84 | 2635 | 16.4 | 81 | 1 | buick skylark |
| 341 | 25.8 | 4 | 156.0 | 92 | 2620 | 14.4 | 81 | 1 | dodge aries wagon (sw) |
| 342 | 23.5 | 6 | 173.0 | 110 | 2725 | 12.6 | 81 | 1 | chevrolet citation |
| 343 | 30.0 | 4 | 135.0 | 84 | 2385 | 12.9 | 81 | 1 | plymouth reliant |
| 344 | 39.1 | 4 | 79.0 | 58 | 1755 | 16.9 | 81 | 3 | toyota starlet |
| 345 | 39.0 | 4 | 86.0 | 64 | 1875 | 16.4 | 81 | 1 | plymouth champ |
| 346 | 35.1 | 4 | 81.0 | 60 | 1760 | 16.1 | 81 | 3 | honda civic 1300 |
| 347 | 32.3 | 4 | 97.0 | 67 | 2065 | 17.8 | 81 | 3 | subaru |
| 348 | 37.0 | 4 | 85.0 | 65 | 1975 | 19.4 | 81 | 3 | datsun 210 mpg |
| 349 | 37.7 | 4 | 89.0 | 62 | 2050 | 17.3 | 81 | 3 | toyota tercel |
| 350 | 34.1 | 4 | 91.0 | 68 | 1985 | 16.0 | 81 | 3 | mazda glc 4 |
| 351 | 34.7 | 4 | 105.0 | 63 | 2215 | 14.9 | 81 | 1 | plymouth horizon 4 |
| 352 | 34.4 | 4 | 98.0 | 65 | 2045 | 16.2 | 81 | 1 | ford escort 4w |
| 353 | 29.9 | 4 | 98.0 | 65 | 2380 | 20.7 | 81 | 1 | ford escort 2h |
| 354 | 33.0 | 4 | 105.0 | 74 | 2190 | 14.2 | 81 | 2 | volkswagen jetta |
| 356 | 33.7 | 4 | 107.0 | 75 | 2210 | 14.4 | 81 | 3 | honda prelude |
| 357 | 32.4 | 4 | 108.0 | 75 | 2350 | 16.8 | 81 | 3 | toyota corolla |
| 358 | 32.9 | 4 | 119.0 | 100 | 2615 | 14.8 | 81 | 3 | datsun 200sx |
| 359 | 31.6 | 4 | 120.0 | 74 | 2635 | 18.3 | 81 | 3 | mazda 626 |
| 360 | 28.1 | 4 | 141.0 | 80 | 3230 | 20.4 | 81 | 2 | peugeot 505s turbo diesel |
| 361 | 30.7 | 6 | 145.0 | 76 | 3160 | 19.6 | 81 | 2 | volvo diesel |
| 362 | 25.4 | 6 | 168.0 | 116 | 2900 | 12.6 | 81 | 3 | toyota cressida |
| 363 | 24.2 | 6 | 146.0 | 120 | 2930 | 13.8 | 81 | 3 | datsun 810 maxima |
| 364 | 22.4 | 6 | 231.0 | 110 | 3415 | 15.8 | 81 | 1 | buick century |
| 365 | 26.6 | 8 | 350.0 | 105 | 3725 | 19.0 | 81 | 1 | oldsmobile cutlass ls |
| 366 | 20.2 | 6 | 200.0 | 88 | 3060 | 17.1 | 81 | 1 | ford granada gl |
| 367 | 17.6 | 6 | 225.0 | 85 | 3465 | 16.6 | 81 | 1 | chrysler lebaron salon |
| 368 | 28.0 | 4 | 112.0 | 88 | 2605 | 19.6 | 82 | 1 | chevrolet cavalier |
| 369 | 27.0 | 4 | 112.0 | 88 | 2640 | 18.6 | 82 | 1 | chevrolet cavalier wagon |
| 370 | 34.0 | 4 | 112.0 | 88 | 2395 | 18.0 | 82 | 1 | chevrolet cavalier 2-door |
| 371 | 31.0 | 4 | 112.0 | 85 | 2575 | 16.2 | 82 | 1 | pontiac j2000 se hatchback |
| 372 | 29.0 | 4 | 135.0 | 84 | 2525 | 16.0 | 82 | 1 | dodge aries se |
| 373 | 27.0 | 4 | 151.0 | 90 | 2735 | 18.0 | 82 | 1 | pontiac phoenix |
| 374 | 24.0 | 4 | 140.0 | 92 | 2865 | 16.4 | 82 | 1 | ford fairmont futura |
| 375 | 36.0 | 4 | 105.0 | 74 | 1980 | 15.3 | 82 | 2 | volkswagen rabbit l |
| 376 | 37.0 | 4 | 91.0 | 68 | 2025 | 18.2 | 82 | 3 | mazda glc custom l |
| 377 | 31.0 | 4 | 91.0 | 68 | 1970 | 17.6 | 82 | 3 | mazda glc custom |
| 378 | 38.0 | 4 | 105.0 | 63 | 2125 | 14.7 | 82 | 1 | plymouth horizon miser |
| 379 | 36.0 | 4 | 98.0 | 70 | 2125 | 17.3 | 82 | 1 | mercury lynx l |
| 380 | 36.0 | 4 | 120.0 | 88 | 2160 | 14.5 | 82 | 3 | nissan stanza xe |
| 381 | 36.0 | 4 | 107.0 | 75 | 2205 | 14.5 | 82 | 3 | honda accord |
| 382 | 34.0 | 4 | 108.0 | 70 | 2245 | 16.9 | 82 | 3 | toyota corolla |
| 383 | 38.0 | 4 | 91.0 | 67 | 1965 | 15.0 | 82 | 3 | honda civic |
| 384 | 32.0 | 4 | 91.0 | 67 | 1965 | 15.7 | 82 | 3 | honda civic (auto) |
| 385 | 38.0 | 4 | 91.0 | 67 | 1995 | 16.2 | 82 | 3 | datsun 310 gx |
| 386 | 25.0 | 6 | 181.0 | 110 | 2945 | 16.4 | 82 | 1 | buick century limited |
| 387 | 38.0 | 6 | 262.0 | 85 | 3015 | 17.0 | 82 | 1 | oldsmobile cutlass ciera (diesel) |
| 388 | 26.0 | 4 | 156.0 | 92 | 2585 | 14.5 | 82 | 1 | chrysler lebaron medallion |
| 389 | 22.0 | 6 | 232.0 | 112 | 2835 | 14.7 | 82 | 1 | ford granada l |
| 390 | 32.0 | 4 | 144.0 | 96 | 2665 | 13.9 | 82 | 3 | toyota celica gt |
| 391 | 36.0 | 4 | 135.0 | 84 | 2370 | 13.0 | 82 | 1 | dodge charger 2.2 |
| 392 | 27.0 | 4 | 151.0 | 90 | 2950 | 17.3 | 82 | 1 | chevrolet camaro |
| 393 | 27.0 | 4 | 140.0 | 86 | 2790 | 15.6 | 82 | 1 | ford mustang gl |
| 394 | 44.0 | 4 | 97.0 | 52 | 2130 | 24.6 | 82 | 2 | vw pickup |
| 395 | 32.0 | 4 | 135.0 | 84 | 2295 | 11.6 | 82 | 1 | dodge rampage |
| 396 | 28.0 | 4 | 120.0 | 79 | 2625 | 18.6 | 82 | 1 | ford ranger |
| 397 | 31.0 | 4 | 119.0 | 82 | 2720 | 19.4 | 82 | 1 | chevy s-10 |
class(Auto)## [1] "data.frame"dim(Auto)## [1] 392 9names(Auto)## [1] "mpg" "cylinders" "displacement" "horsepower" "weight"
## [6] "acceleration" "year" "origin" "name"str(Auto)## 'data.frame': 392 obs. of 9 variables:
## $ mpg : num 18 15 18 16 17 15 14 14 14 15 ...
## $ cylinders : num 8 8 8 8 8 8 8 8 8 8 ...
## $ displacement: num 307 350 318 304 302 429 454 440 455 390 ...
## $ horsepower : num 130 165 150 150 140 198 220 215 225 190 ...
## $ weight : num 3504 3693 3436 3433 3449 ...
## $ acceleration: num 12 11.5 11 12 10.5 10 9 8.5 10 8.5 ...
## $ year : num 70 70 70 70 70 70 70 70 70 70 ...
## $ origin : num 1 1 1 1 1 1 1 1 1 1 ...
## $ name : Factor w/ 304 levels "amc ambassador brougham",..: 49 36 231 14 161 141 54 223 241 2 ...na.omit(Auto)## mpg cylinders displacement horsepower weight acceleration year origin
## 1 18.0 8 307.0 130 3504 12.0 70 1
## 2 15.0 8 350.0 165 3693 11.5 70 1
## 3 18.0 8 318.0 150 3436 11.0 70 1
## 4 16.0 8 304.0 150 3433 12.0 70 1
## 5 17.0 8 302.0 140 3449 10.5 70 1
## 6 15.0 8 429.0 198 4341 10.0 70 1
## 7 14.0 8 454.0 220 4354 9.0 70 1
## 8 14.0 8 440.0 215 4312 8.5 70 1
## 9 14.0 8 455.0 225 4425 10.0 70 1
## 10 15.0 8 390.0 190 3850 8.5 70 1
## 11 15.0 8 383.0 170 3563 10.0 70 1
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## name
## 1 chevrolet chevelle malibu
## 2 buick skylark 320
## 3 plymouth satellite
## 4 amc rebel sst
## 5 ford torino
## 6 ford galaxie 500
## 7 chevrolet impala
## 8 plymouth fury iii
## 9 pontiac catalina
## 10 amc ambassador dpl
## 11 dodge challenger se
## 12 plymouth 'cuda 340
## 13 chevrolet monte carlo
## 14 buick estate wagon (sw)
## 15 toyota corona mark ii
## 16 plymouth duster
## 17 amc hornet
## 18 ford maverick
## 19 datsun pl510
## 20 volkswagen 1131 deluxe sedan
## 21 peugeot 504
## 22 audi 100 ls
## 23 saab 99e
## 24 bmw 2002
## 25 amc gremlin
## 26 ford f250
## 27 chevy c20
## 28 dodge d200
## 29 hi 1200d
## 30 datsun pl510
## 31 chevrolet vega 2300
## 32 toyota corona
## 34 amc gremlin
## 35 plymouth satellite custom
## 36 chevrolet chevelle malibu
## 37 ford torino 500
## 38 amc matador
## 39 chevrolet impala
## 40 pontiac catalina brougham
## 41 ford galaxie 500
## 42 plymouth fury iii
## 43 dodge monaco (sw)
## 44 ford country squire (sw)
## 45 pontiac safari (sw)
## 46 amc hornet sportabout (sw)
## 47 chevrolet vega (sw)
## 48 pontiac firebird
## 49 ford mustang
## 50 mercury capri 2000
## 51 opel 1900
## 52 peugeot 304
## 53 fiat 124b
## 54 toyota corolla 1200
## 55 datsun 1200
## 56 volkswagen model 111
## 57 plymouth cricket
## 58 toyota corona hardtop
## 59 dodge colt hardtop
## 60 volkswagen type 3
## 61 chevrolet vega
## 62 ford pinto runabout
## 63 chevrolet impala
## 64 pontiac catalina
## 65 plymouth fury iii
## 66 ford galaxie 500
## 67 amc ambassador sst
## 68 mercury marquis
## 69 buick lesabre custom
## 70 oldsmobile delta 88 royale
## 71 chrysler newport royal
## 72 mazda rx2 coupe
## 73 amc matador (sw)
## 74 chevrolet chevelle concours (sw)
## 75 ford gran torino (sw)
## 76 plymouth satellite custom (sw)
## 77 volvo 145e (sw)
## 78 volkswagen 411 (sw)
## 79 peugeot 504 (sw)
## 80 renault 12 (sw)
## 81 ford pinto (sw)
## 82 datsun 510 (sw)
## 83 toyouta corona mark ii (sw)
## 84 dodge colt (sw)
## 85 toyota corolla 1600 (sw)
## 86 buick century 350
## 87 amc matador
## 88 chevrolet malibu
## 89 ford gran torino
## 90 dodge coronet custom
## 91 mercury marquis brougham
## 92 chevrolet caprice classic
## 93 ford ltd
## 94 plymouth fury gran sedan
## 95 chrysler new yorker brougham
## 96 buick electra 225 custom
## 97 amc ambassador brougham
## 98 plymouth valiant
## 99 chevrolet nova custom
## 100 amc hornet
## 101 ford maverick
## 102 plymouth duster
## 103 volkswagen super beetle
## 104 chevrolet impala
## 105 ford country
## 106 plymouth custom suburb
## 107 oldsmobile vista cruiser
## 108 amc gremlin
## 109 toyota carina
## 110 chevrolet vega
## 111 datsun 610
## 112 maxda rx3
## 113 ford pinto
## 114 mercury capri v6
## 115 fiat 124 sport coupe
## 116 chevrolet monte carlo s
## 117 pontiac grand prix
## 118 fiat 128
## 119 opel manta
## 120 audi 100ls
## 121 volvo 144ea
## 122 dodge dart custom
## 123 saab 99le
## 124 toyota mark ii
## 125 oldsmobile omega
## 126 plymouth duster
## 128 amc hornet
## 129 chevrolet nova
## 130 datsun b210
## 131 ford pinto
## 132 toyota corolla 1200
## 133 chevrolet vega
## 134 chevrolet chevelle malibu classic
## 135 amc matador
## 136 plymouth satellite sebring
## 137 ford gran torino
## 138 buick century luxus (sw)
## 139 dodge coronet custom (sw)
## 140 ford gran torino (sw)
## 141 amc matador (sw)
## 142 audi fox
## 143 volkswagen dasher
## 144 opel manta
## 145 toyota corona
## 146 datsun 710
## 147 dodge colt
## 148 fiat 128
## 149 fiat 124 tc
## 150 honda civic
## 151 subaru
## 152 fiat x1.9
## 153 plymouth valiant custom
## 154 chevrolet nova
## 155 mercury monarch
## 156 ford maverick
## 157 pontiac catalina
## 158 chevrolet bel air
## 159 plymouth grand fury
## 160 ford ltd
## 161 buick century
## 162 chevroelt chevelle malibu
## 163 amc matador
## 164 plymouth fury
## 165 buick skyhawk
## 166 chevrolet monza 2+2
## 167 ford mustang ii
## 168 toyota corolla
## 169 ford pinto
## 170 amc gremlin
## 171 pontiac astro
## 172 toyota corona
## 173 volkswagen dasher
## 174 datsun 710
## 175 ford pinto
## 176 volkswagen rabbit
## 177 amc pacer
## 178 audi 100ls
## 179 peugeot 504
## 180 volvo 244dl
## 181 saab 99le
## 182 honda civic cvcc
## 183 fiat 131
## 184 opel 1900
## 185 capri ii
## 186 dodge colt
## 187 renault 12tl
## 188 chevrolet chevelle malibu classic
## 189 dodge coronet brougham
## 190 amc matador
## 191 ford gran torino
## 192 plymouth valiant
## 193 chevrolet nova
## 194 ford maverick
## 195 amc hornet
## 196 chevrolet chevette
## 197 chevrolet woody
## 198 vw rabbit
## 199 honda civic
## 200 dodge aspen se
## 201 ford granada ghia
## 202 pontiac ventura sj
## 203 amc pacer d/l
## 204 volkswagen rabbit
## 205 datsun b-210
## 206 toyota corolla
## 207 ford pinto
## 208 volvo 245
## 209 plymouth volare premier v8
## 210 peugeot 504
## 211 toyota mark ii
## 212 mercedes-benz 280s
## 213 cadillac seville
## 214 chevy c10
## 215 ford f108
## 216 dodge d100
## 217 honda accord cvcc
## 218 buick opel isuzu deluxe
## 219 renault 5 gtl
## 220 plymouth arrow gs
## 221 datsun f-10 hatchback
## 222 chevrolet caprice classic
## 223 oldsmobile cutlass supreme
## 224 dodge monaco brougham
## 225 mercury cougar brougham
## 226 chevrolet concours
## 227 buick skylark
## 228 plymouth volare custom
## 229 ford granada
## 230 pontiac grand prix lj
## 231 chevrolet monte carlo landau
## 232 chrysler cordoba
## 233 ford thunderbird
## 234 volkswagen rabbit custom
## 235 pontiac sunbird coupe
## 236 toyota corolla liftback
## 237 ford mustang ii 2+2
## 238 chevrolet chevette
## 239 dodge colt m/m
## 240 subaru dl
## 241 volkswagen dasher
## 242 datsun 810
## 243 bmw 320i
## 244 mazda rx-4
## 245 volkswagen rabbit custom diesel
## 246 ford fiesta
## 247 mazda glc deluxe
## 248 datsun b210 gx
## 249 honda civic cvcc
## 250 oldsmobile cutlass salon brougham
## 251 dodge diplomat
## 252 mercury monarch ghia
## 253 pontiac phoenix lj
## 254 chevrolet malibu
## 255 ford fairmont (auto)
## 256 ford fairmont (man)
## 257 plymouth volare
## 258 amc concord
## 259 buick century special
## 260 mercury zephyr
## 261 dodge aspen
## 262 amc concord d/l
## 263 chevrolet monte carlo landau
## 264 buick regal sport coupe (turbo)
## 265 ford futura
## 266 dodge magnum xe
## 267 chevrolet chevette
## 268 toyota corona
## 269 datsun 510
## 270 dodge omni
## 271 toyota celica gt liftback
## 272 plymouth sapporo
## 273 oldsmobile starfire sx
## 274 datsun 200-sx
## 275 audi 5000
## 276 volvo 264gl
## 277 saab 99gle
## 278 peugeot 604sl
## 279 volkswagen scirocco
## 280 honda accord lx
## 281 pontiac lemans v6
## 282 mercury zephyr 6
## 283 ford fairmont 4
## 284 amc concord dl 6
## 285 dodge aspen 6
## 286 chevrolet caprice classic
## 287 ford ltd landau
## 288 mercury grand marquis
## 289 dodge st. regis
## 290 buick estate wagon (sw)
## 291 ford country squire (sw)
## 292 chevrolet malibu classic (sw)
## 293 chrysler lebaron town @ country (sw)
## 294 vw rabbit custom
## 295 maxda glc deluxe
## 296 dodge colt hatchback custom
## 297 amc spirit dl
## 298 mercedes benz 300d
## 299 cadillac eldorado
## 300 peugeot 504
## 301 oldsmobile cutlass salon brougham
## 302 plymouth horizon
## 303 plymouth horizon tc3
## 304 datsun 210
## 305 fiat strada custom
## 306 buick skylark limited
## 307 chevrolet citation
## 308 oldsmobile omega brougham
## 309 pontiac phoenix
## 310 vw rabbit
## 311 toyota corolla tercel
## 312 chevrolet chevette
## 313 datsun 310
## 314 chevrolet citation
## 315 ford fairmont
## 316 amc concord
## 317 dodge aspen
## 318 audi 4000
## 319 toyota corona liftback
## 320 mazda 626
## 321 datsun 510 hatchback
## 322 toyota corolla
## 323 mazda glc
## 324 dodge colt
## 325 datsun 210
## 326 vw rabbit c (diesel)
## 327 vw dasher (diesel)
## 328 audi 5000s (diesel)
## 329 mercedes-benz 240d
## 330 honda civic 1500 gl
## 332 subaru dl
## 333 vokswagen rabbit
## 334 datsun 280-zx
## 335 mazda rx-7 gs
## 336 triumph tr7 coupe
## 338 honda accord
## 339 plymouth reliant
## 340 buick skylark
## 341 dodge aries wagon (sw)
## 342 chevrolet citation
## 343 plymouth reliant
## 344 toyota starlet
## 345 plymouth champ
## 346 honda civic 1300
## 347 subaru
## 348 datsun 210 mpg
## 349 toyota tercel
## 350 mazda glc 4
## 351 plymouth horizon 4
## 352 ford escort 4w
## 353 ford escort 2h
## 354 volkswagen jetta
## 356 honda prelude
## 357 toyota corolla
## 358 datsun 200sx
## 359 mazda 626
## 360 peugeot 505s turbo diesel
## 361 volvo diesel
## 362 toyota cressida
## 363 datsun 810 maxima
## 364 buick century
## 365 oldsmobile cutlass ls
## 366 ford granada gl
## 367 chrysler lebaron salon
## 368 chevrolet cavalier
## 369 chevrolet cavalier wagon
## 370 chevrolet cavalier 2-door
## 371 pontiac j2000 se hatchback
## 372 dodge aries se
## 373 pontiac phoenix
## 374 ford fairmont futura
## 375 volkswagen rabbit l
## 376 mazda glc custom l
## 377 mazda glc custom
## 378 plymouth horizon miser
## 379 mercury lynx l
## 380 nissan stanza xe
## 381 honda accord
## 382 toyota corolla
## 383 honda civic
## 384 honda civic (auto)
## 385 datsun 310 gx
## 386 buick century limited
## 387 oldsmobile cutlass ciera (diesel)
## 388 chrysler lebaron medallion
## 389 ford granada l
## 390 toyota celica gt
## 391 dodge charger 2.2
## 392 chevrolet camaro
## 393 ford mustang gl
## 394 vw pickup
## 395 dodge rampage
## 396 ford ranger
## 397 chevy s-10dim(na.omit(Auto))## [1] 392 91.5 Additional summaries
Scatterplot of quantitative variables
plot(cylinders , mpg)## Error in plot(cylinders, mpg): object 'cylinders' not foundTo refer to a variable, we must type the data set and the variable name joined with a $ symbol.
DO NOT USE attach()
plot(Auto$cylinders, Auto$mpg)
plot(Auto$cylinders)
# but this is actually a factor...
Auto$cylinders <- as.factor(Auto$cylinders)
plot(Auto$cylinders, Auto$mpg)
plot(Auto$cylinders)
# customizing the aspect
plot(Auto$cylinders, Auto$mpg, col="red", varwidth=T, xlab="cylinders", ylab = "MPG")
plot(Auto$cylinders, Auto$mpg, col="red", horizontal=T, xlab="cylinders", ylab = "MPG")
Histogram
hist(Auto$mpg)
hist(Auto$mpg, col = 2)
hist(Auto$mpg, breaks=15)
Scatterplot matrix
pairs(Auto)
# for just a subset
pairs(~mpg + displacement + horsepower + weight, Auto)
identify(): a useful interactive method for identifying the value for a particular variable for points on a plot.
plot(Auto$horsepower, Auto$mpg)
identify(Auto$horsepower,Auto$mpg,Auto$name)
## integer(0)# click, click, click, and then ESCOne of your best friends: summary(), to produce a numerical summary of each variable in a particular data set
summary(Auto)## mpg cylinders displacement horsepower weight
## Min. : 9.00 3: 4 Min. : 68.0 Min. : 46.0 Min. :1613
## 1st Qu.:17.00 4:199 1st Qu.:105.0 1st Qu.: 75.0 1st Qu.:2225
## Median :22.75 5: 3 Median :151.0 Median : 93.5 Median :2804
## Mean :23.45 6: 83 Mean :194.4 Mean :104.5 Mean :2978
## 3rd Qu.:29.00 8:103 3rd Qu.:275.8 3rd Qu.:126.0 3rd Qu.:3615
## Max. :46.60 Max. :455.0 Max. :230.0 Max. :5140
##
## acceleration year origin name
## Min. : 8.00 Min. :70.00 Min. :1.000 amc matador : 5
## 1st Qu.:13.78 1st Qu.:73.00 1st Qu.:1.000 ford pinto : 5
## Median :15.50 Median :76.00 Median :1.000 toyota corolla : 5
## Mean :15.54 Mean :75.98 Mean :1.577 amc gremlin : 4
## 3rd Qu.:17.02 3rd Qu.:79.00 3rd Qu.:2.000 amc hornet : 4
## Max. :24.80 Max. :82.00 Max. :3.000 chevrolet chevette: 4
## (Other) :365summary(Auto$mpg)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.00 17.00 22.75 23.45 29.00 46.60summary(Auto$cylinders)## 3 4 5 6 8
## 4 199 3 83 103Done for today
q()
quit()but first, you can savehistory("history_filename.R") - still, I would recommend to always use a script anyway!
Session Info
sessionInfo()## R version 3.6.0 (2019-04-26)
## Platform: x86_64-apple-darwin15.6.0 (64-bit)
## Running under: macOS Sierra 10.12.6
##
## Matrix products: default
## BLAS: /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
## LAPACK: /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRlapack.dylib
##
## locale:
## [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] ISLR_1.2
##
## loaded via a namespace (and not attached):
## [1] compiler_3.6.0 magrittr_1.5 tools_3.6.0 htmltools_0.4.0
## [5] base64enc_0.1-3 yaml_2.2.1 Rcpp_1.0.4 stringi_1.4.6
## [9] rmarkdown_2.1 highr_0.8 knitr_1.28 stringr_1.4.0
## [13] xfun_0.12 digest_0.6.25 rlang_0.4.5 evaluate_0.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